{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "# Optical Channel with Lumped Amplification"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this notebook, you will learn how to simulate the transmission of a single Gaussian impulse over a\n",
    "lumped amplification channel model consisting of multiple fiber spans and optical amplifiers, so-called Erbium Doped Fiber Amplifiers (EDFA), as shown in the Figure below. We assume a *standard single mode fiber* (S-SMF) and denote the fiber length between two amplifiers by $\\ell_\\text{span}$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![SSFM]()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "Let $G$ denote the amplifier gain and $F$ the noise figure of each EDFA.\n",
    "\n",
    "As we focus on the optical channel and not the corresponding signal processing, \n",
    "the transmitter directly generates the optical signal. Hence, all\n",
    "components that, in practice, are required to\n",
    "generate the optical signal given an electrical control voltage\n",
    "(e.g., the Mach-Zehnder-Modulator (MZM)) are assumed to be ideal or are neglected. The same holds on the receiver side, where the photodiode that would add shot noise is neglected.\n",
    "\n",
    "To provide a better understanding of the implemented channel impairments (attenuation, noise, dispersion,\n",
    "nonlinearity) introduced during propagation, those are successively\n",
    "enabled, starting with attenuation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## Table of Contents\n",
    "- [Setup](#Setup)\n",
    "- [Attenuation](#Attenuation)\n",
    "- [Amplified Spontaneous Emission Noise](#Amplified-Spontaneous-Emission-Noise)\n",
    "- [Chromatic Dispersion](#Chromatic-Dispersion)\n",
    "- [Kerr Nonlinearity](#Kerr-Nonlinearity)\n",
    "- [Split-Step Fourier Method](#Split-Step-Fourier-Method)\n",
    "- [References](#References)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-11T00:47:55.030996Z",
     "iopub.status.busy": "2025-03-11T00:47:55.030318Z",
     "iopub.status.idle": "2025-03-11T00:47:57.527368Z",
     "shell.execute_reply": "2025-03-11T00:47:57.526595Z"
    }
   },
   "outputs": [],
   "source": [
    "import os\n",
    "if os.getenv(\"CUDA_VISIBLE_DEVICES\") is None:\n",
    "    gpu_num = 0 # Use \"\" to use the CPU\n",
    "    os.environ[\"CUDA_VISIBLE_DEVICES\"] = f\"{gpu_num}\"\n",
    "os.environ['TF_CPP_MIN_LOG_LEVEL'] = '3'\n",
    "\n",
    "# Import Sionna\n",
    "try:\n",
    "    import sionna.phy\n",
    "except ImportError as e:\n",
    "    import sys\n",
    "    if 'google.colab' in sys.modules:\n",
    "       # Install Sionna in Google Colab\n",
    "       print(\"Installing Sionna and restarting the runtime. Please run the cell again.\")\n",
    "       os.system(\"pip install sionna\")\n",
    "       os.kill(os.getpid(), 5)\n",
    "    else:\n",
    "       raise e\n",
    "\n",
    "import tensorflow as tf\n",
    "# Configure the notebook to use only a single GPU and allocate only as much memory as needed\n",
    "# For more details, see https://www.tensorflow.org/guide/gpu\n",
    "gpus = tf.config.list_physical_devices('GPU')\n",
    "if gpus:\n",
    "    try:\n",
    "        tf.config.experimental.set_memory_growth(gpus[0], True)\n",
    "    except RuntimeError as e:\n",
    "        print(e)\n",
    "# Avoid warnings from TensorFlow\n",
    "tf.get_logger().setLevel('ERROR')\n",
    "\n",
    "import numpy as np\n",
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Set random seed for reproducibility\n",
    "from sionna.phy import dtypes, config\n",
    "from sionna.phy.channel import utils\n",
    "config.seed = 42"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## Impulse Generation\n",
    "\n",
    "Before diving into the first channel model, the simulation shall be parametrized and the\n",
    "initial Gaussian impulse\n",
    "\n",
    "$$g(t)=\\sqrt{P_0\\cdot 2^{\\left(-\\left(\\frac{2t}{T_0}\\right)^2\\right)}}$$\n",
    "\n",
    "is generated. The impulse shall have peak power $P_0$ and a pulse duration of $T_0$.\n",
    "Note that the Gaussian filter is infinitely long, such that $T_0$ is the\n",
    "full width at half-maximum (FWHM) pulse duration.\n",
    "\n",
    "Further, the simulation window is set to $T_\\mathrm{sim}=1000\\,\\mathrm{ps}$ and the sample duration\n",
    "is set to $\\Delta_t=1\\,\\mathrm{ps}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-11T00:47:57.531137Z",
     "iopub.status.busy": "2025-03-11T00:47:57.530836Z",
     "iopub.status.idle": "2025-03-11T00:47:57.536260Z",
     "shell.execute_reply": "2025-03-11T00:47:57.535607Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tf.complex128"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "config.precision=\"double\"\n",
    "config.tf_cdtype"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2025-03-11T00:47:57.539451Z",
     "iopub.status.busy": "2025-03-11T00:47:57.539183Z",
     "iopub.status.idle": "2025-03-11T00:47:58.756248Z",
     "shell.execute_reply": "2025-03-11T00:47:58.755166Z"
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "# Simulation parameters\n",
    "config.precision = \"double\"\n",
    "t_sim = int(1e4)  # (ps) Simulation time window\n",
    "n_sim = int(1e4)  # Number of simulation samples\n",
    "\n",
    "# Channel parameters\n",
    "n_span = 3\n",
    "\n",
    "# Impulse parameters\n",
    "p_0 = 3e-2  # (W) Peak power of the Gaussian pulse\n",
    "t_0 = 50  # (ps) Norm. temporal scaling of the Gaussian pulse\n",
    "\n",
    "# Support\n",
    "dt = t_sim / n_sim  # (s) sample duration\n",
    "t, f = utils.time_frequency_vector(n_sim, dt)  # (ps), (THz) Time and frequency vector\n",
    "\n",
    "# Generate Gaussian impulse\n",
    "g_0 = np.sqrt(p_0 * 2**(-((2.0*t / t_0) ** 2.0)))\n",
    "g_0 = tf.cast(g_0, dtype=config.tf_cdtype)\n",
    "G_0 = tf.signal.fftshift(\n",
    "        tf.abs(\n",
    "            tf.cast(dt, config.tf_cdtype) *\n",
    "            tf.signal.fft(g_0) /\n",
    "            tf.cast(tf.math.sqrt(2 * np.pi), config.tf_cdtype)\n",
    "        ) ** 2\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2025-03-11T00:47:58.760400Z",
     "iopub.status.busy": "2025-03-11T00:47:58.760090Z",
     "iopub.status.idle": "2025-03-11T00:47:59.068972Z",
     "shell.execute_reply": "2025-03-11T00:47:59.068299Z"
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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VoEED3n77baKioujSpQvHjx9n5cqVaLXWKztGjx5Ny5YtiYqKwtfXl/Xr1+Pg4MCHH37IJ598QlBQEAMHDgTg0Ucf5dNPP2XBggW0b9+enj17snDhQsv0KG5ubvzwww/s2rWLjh078n//93+89dZbVou1JmmUGxkvLQDIzc3Fw8ODrKwsmSzRyoxGIytXruSOO+644v4NUT2S2yt9vOYwb686QIiXMwlP98RQxXuWrJHbXacuMGDmnwCsHHczbYLcq7Qfe1Pb3rdFRUUcO3aMsLCwcjfa10Vms5nc3Fzc3d2tWnDVF9d6L2RnZ+Pj48OFCxdwd6/Z32X5lxRC1EsXCozMWVM2Ii6+T4sqF3XW0r6RB3d2CATgvV8PqBqLEKLuksJOCFEvfbL2CLlFpbTwd+OuCNvOWVdZ8X1aoNNqSNyfydbjOWqHI4Sog6SwE0LUO5l5RSxYfxyAZ/q2RKfVqBvQJU193RjSuREAb/9y4IZWFhBCCJDCTghRD836/TCFRhMdG3vSp42/2uGUMz42HEcHLZuP5fDHwbNqhyOEqGOksBNC1CsncwpYvLlsNOCzcS0tk6DWFoEezgzvVrb80ju/HMBslrN2tZGcTRW19T0ghZ0Qol6Z+fthjCaFm8N96N7MR+1wKvRk7+a4OurYcyaXX/dmqB2O+JvLI3MLCgpUjkSo7fJKHLVt9Yq6MV22EEJYQfqFIr7ZfgqACbHhKkdzdV6ujoy8KZRZq48w+48jxLX1r3VnFusrnU6Hp6enZU1UFxeXOvtvYzabKSkpoaioSKY7uUFms5mzZ8/i4uKCg0PtKqVqVzRCCGFDn/15FKNJoWuYF52bWGdZI1sZ2T2MT9cdY8fJ8yQdza61Zxfro4CAsmXnLhd3dZWiKBQWFuLs7Fxni1M1abVaGjduXOtyJ4WdEKJeOF9QwuJNZffWjenVTOVors+3gRP3RYXw+cYTzF5zRAq7WkSj0RAYGIifnx9Go1HtcKrMaDSydu1abrnlllox+XNd4+joWCvPdEphJ4SoF/6bdIL8EhOtA93p1cJX7XAq5bFbmrJ4cyrrDmWx+/QF2gV7qB2S+BudTlfr7q+6ETqdjtLSUgwGgxR2dqT2lZpCCGFlBSWlLFh/DCg7W1fbLp1cTYiXCwMurUYx+48jKkcjhKgLpLATQti9r7ac5FyBkcZeLtzRLkDtcG7IE5cuG/+8K41jWfkqRyOEqO2ksBNC2DWjycy8dWVn6x67pSkOurr1sdcqwJ1bW/lhVmDu2qNqhyOEqOXq1iecEELcoF/2pHP6fCE+bo4MvrRcV13zRM+ys3bfbDtFTn6JytEIIWozKeyEEHbt8pqwD0Q3waCvmze6dwltSLtgd4pLzSy5tGqGEEJURAo7IYTd2nnqPMknzqHXafhXdGO1w6kyjUbDqO5hAHyedAKjyaxyREKI2koKOyGE3bp8tq5/+0D83A3qBlNNd0YE4uPmRHpuEat2p6sdjhCilpLCTghhlzJzi/hx5xkARt0UpnI01efkoOPBS2cdL0/dIoQQ/2SVws5oNHLy5EkOHDhATk6ONXYphBDV8uWmVIwmhU6NPYkI8VQ7HKt4sFtj9DoN21LPs+PkebXDEULUQlUu7PLy8pg9ezY9e/bE3d2d0NBQWrduja+vL02aNGH06NFs2bLFmrEKIUSlFJea+HLTCcA+ztZd5tfAwIAOQYCctRNCVKxKhd306dMJDQ1lwYIFxMbGsmLFClJSUjh48CBJSUlMnjyZ0tJS+vbtS79+/Th06JC14xZCiKv6aWcaWRdLCHA30K+OTUh8PZcL1Z92pZGZW6RyNEKI2qZKa8Vu2bKFtWvX0rZt2wqf79q1Kw8//DBz5sxhwYIFrFu3jvDw8GoFKoQQlfXFxrKzdf/q1hh9HZuQ+HraN/Kgc5OGJJ84x7ItJ/n3bfLZKoT4S5U+8ZYsWYKLi8t1+zk5OfHEE0/w8MMPV+UwQghxw/an57It9TwOWg33dQlROxyb+Fe3skEUSzanYjIrKkcjhKhNqvynbLNmzQgLC+Phhx/m888/59SpU9aMSwghqmTp5pMAxLb2x69B3Z7i5GpubxeIp4ueMxeKWHMgU+1whBC1SJULu99//50RI0Zw9OhRHnvsMZo0aUJ4eDiPP/44S5cuJSMjw5pxCiHEdRWWmPhmW9kfmcPq8ITE12PQ6xhyaXm0LzfJShRCiL9U6R47gF69etGrVy8AioqK2LBhA2vWrGHNmjUsWrQIo9FIq1at2LNnj7ViFUKIa1q5K43colKCPZ25ubmP2uHY1LCujZm37hirD2Ry6lwBjRpe//YYIYT9s8pdxQaDgVtvvZWXXnqJqVOnMm7cONzc3Ni/f781di+EEJVyeR3VYV1D0Go1KkdjW0193bipuTeK8tflZyGEqFZhV1JSwtq1a5k6dSq9e/fG09OTJ554gnPnzjFz5kyOHZN5loQQNeNgRh5bT5xDp9VwX5R9Dpr4pwejmwCwdMtJWT9WCAFU41LsrbfeyqZNmwgLC6Nnz548/vjjLF68mMDAQGvGJ4QQlbL40r1msa396vy6sJXVp40/vg2cOJtXTMLeDO5oL5+/QtR3VT5jt27dOry9vbn11lu57bbb6NOnjxR1QghVFBn/Nmiiq/0OmvgnvU7L0EtnJy+vtCGEqN+qXNidP3+euXPn4uLiwltvvUVQUBDt27dn7NixLF++nLNnz1otyFmzZhEaGorBYCA6OprNmzdfs//XX39Nq1atMBgMtG/fnpUrV1qeMxqNPP/887Rv3x5XV1eCgoIYPnw4Z86csVq8QoiaVW7QRLiv2uHUqPu7hqDRwPrD2Rw9e1HtcIQQKqtyYefq6kq/fv1488032bRpE1lZWbz99tu4uLjw9ttv06hRI9q1a1ftAJctW0Z8fDyTJ09m27ZtREREEBcXR2ZmxXM3bdiwgWHDhvHII4+wfft2Bg0axKBBg9i9ezcABQUFbNu2jZdffplt27bxzTffcODAAe66665qxyqEUMflQRP3dwlBZ+eDJv6pUUMXbm3pB/x1OVoIUX9Zba0dV1dXvLy88PLyomHDhjg4OLBv375q73f69OmMHj2aUaNG0aZNG+bMmYOLiwvz58+vsP+MGTPo168fzz77LK1bt+bVV1+lU6dOzJw5EwAPDw8SEhK47777aNmyJd26dWPmzJkkJyeTmiofikLUNYcy8thy/NKgCTtdaeJ6Hry0EsXybacoMppUjkYIoaYqD54wm81s3bqVNWvWsHr1atavX09+fj7BwcH07t2bWbNm0bt372oFV1JSQnJyMhMnTrS0abVaYmNjSUpKqnCbpKQk4uPjy7XFxcWxYsWKqx7nwoULaDQaPD09K3y+uLiY4uJiy+Pc3Fyg7LKu0Wis5KsRlXE5n5JX67PX3H6x8TgAt7b0xctZp8rrUzu33cMaEuRh4MyFIn5IOcWgyCBV4rAFtXNrzyS3tqNmTqtc2Hl6epKfn09AQAC9e/fm/fffp1evXjRr1sxqwWVlZWEymfD39y/X7u/vf9U58tLT0yvsn56eXmH/oqIinn/+eYYNG4a7u3uFfaZNm8bUqVOvaF+9enWl1swVNy4hIUHtEOyWPeW2xARfJ+sADU2VNFauVPdeWTVzG+mu4cwFHbN/3YXjmRTV4rAVe3rf1jaSW+srKChQ7dhVLuzeeecdevfuTYsWLawZT40yGo3cd999KIrC7Nmzr9pv4sSJ5c4C5ubmEhISQu/evfH29q6JUOsNo9FIQkICffr0Qa/Xqx2OXbHH3H6XcoaCzbsJ8jDw9LCbVbu/rjbktlNuEb+8t46jedAi6haa+7mpEoe11Ybc2ivJre1kZ2erduwqF3aPP/64NeOokI+PDzqd7op1ZzMyMggICKhwm4CAgEr1v1zUnThxgt9///2qZ+sAnJyccHJyuqJdr9fLL4ONSG5tx55y+1Vy2Rm6+7s2xuDkqHI06uY2xFvPra38SNibwfLtabx8ZxtV4rAVe3rf1jaSW+tTM59VGjxxo4MMTp8+XZXD4OjoSOfOnUlMTLS0mc1mEhMTiYmJqXCbmJiYcv2h7DTz3/tfLuoOHTrEb7/9JmfdhKiDDmfmsfl4DloN9Waliet54NIcfv+TQRRC1FtVKuy6dOnC448/zpYtW67a58KFC8ybN4927drxv//9r8oBxsfHM2/ePBYtWsS+ffsYM2YM+fn5jBo1CoDhw4eXG1wxfvx4Vq1axXvvvcf+/fuZMmUKW7duZezYsUBZUTd48GC2bt3Kl19+iclkIj09nfT0dEpKSqocpxCiZi25tD7qra38CfCoHytNXM8tLXwJ8jBwvsDIL3sqvq9YCGHfqnQpdu/evbz++uv06dMHg8FA586dCQoKwmAwcO7cOfbu3cuePXvo1KkTb7/9NnfccUeVAxw6dChnz55l0qRJpKenExkZyapVqywDJFJTU9Fq/6pPu3fvzuLFi3nppZd48cUXCQ8PZ8WKFZY59U6fPs33338PQGRkZLljrV69ml69elU5ViFEzSgymvjfpZUmHoyuPytNXM/lKV8++O0QSzanMjAyWO2QhBA1rEqFnbe3N9OnT+f111/np59+4s8//+TEiRMUFhbi4+PDgw8+SFxcnFUmKAYYO3as5YzbP61Zs+aKtiFDhjBkyJAK+4eGhqIoilXiEkKoY9XudM4XGAnyMHBLi/q10sT13BcVwoeJh9h4NIejZy/S1Nc+BlEIISqnyoMnAJydnRk8eDCDBw+2VjxCCHFdiy+tNDG0S+N6t9LE9QR5OtO7pR+J+zNZuuUkL97RWu2QhBA1yGorTwghRE04nHmRzccuDZro0kjtcGqlYZcGUSxPPkVxqQyiEKI+kcJOCFGnLL10tu7WVn4EejirHE3t1KulL/7uTuTkl5CwN+P6Gwgh7IYUdkKIOuPvgyYun5USV3LQaRl6aQqYJZtlDWwh6hMp7IQQdcYve9I5V2Ak0MNAr5Z+aodTq93XJQSNBtYfzuZ4Vr7a4QghaogUdkKIOmPxpsuDJkJk0MR1NGroQs9LI4aXbjmpcjRCiJpSrVGxlyUmJpKYmEhmZiZms7ncc/Pnz7fGIYQQ9dyRsxfZdExWmrgR93dpzJoDZ1mefJL4Pi1wdJC/5YWwd9X+LZ86dSp9+/YlMTGRrKwszp07V+5LCCGs4fKgid4t/QjylEETlXFbaz98GziRdbGExH0yiEKI+qDaZ+zmzJnDwoULeeihh6wRjxBCXKG41MTyZBk0caP0Oi33RTVi1uojLN6cyu3tA9UOSQhhY9U+Y1dSUkL37t2tEYsQQlTolz0ZnCswEuBuoFdLWWniRtzfpawQXncoi5M5BSpHI4SwtWoXdo8++iiLFy+2RixCCFGhxZtOAGWDJhx0cp/YjQjxcuHmcB8Alm6RqU+EsHfVvhRbVFTE3Llz+e233+jQoQN6vb7c89OnT6/uIYQQ9djRsxfZePTyShMyaKIqhnVtzLpDWXy99RQTYlugl+JYCLtV7cJu586dREZGArB79+5yz2k0Mh2BEKJ6Lk/V0aulH8EyaKJKYlv74+PmSGZeMb/vzySubYDaIQkhbKTahd3q1autEYcQQlxBBk1Yh6ODlsGdQ5jzxxGWbE6Vwk4IOybn44UQtdYvezLIyS/B392J3jJoolruv3QZ+4+DZzl1TgZRCGGvqnTGLj4+nldffRVXV1fi4+Ov2VfusRNCVNWXGy8NmoiSQRPVFerjyk3NvVl/OJuvtp4ivk8LtUMSQthAlQq77du3YzQaLT9fjdxjJ4SoqsOZeZaVJu6Xy7BWcX+XxmWF3ZaTjLu1uRTLQtihKhV2f7+vTu6xE0LYwhcby6bmuK21v6w0YSV92/rj5epIem4Raw6cJbaNv9ohCSGsTP5cE0LUOgUlpfxvW9mgiX91a6JyNPbDyUHH4M6NAFiyWea0E8IeSWEnhKh1ftyRRl5RKY29XLi5uY/a4diVy4MoVh/IJO1CocrRCCGsTQo7IUSt88WllSYeiG6MViv36lpTU183osO8MCvw1ZZTaocjhLAyKeyEELXKzlPn2XnqAo46LUMuXTYU1vVAdNlglGVbUjGZFZWjEUJYkxR2Qoha5ctLgyZubx+At5uTytHYp7i2AXi66DlzoYi1B8+qHY4QwopuuLArLCzk9OnTV7Tv2bPHKgEJIeqvC4VGvt9xBpBBE7Zk0Ou4t1PZ2dAvL132FkLYhxsq7JYvX054eDj9+/enQ4cObNq0yfLcQw89ZPXghBD1y7fbTlFoNNHC342oJg3VDseuXb4cm7g/k5M5shKFEPbihgq71157jeTkZFJSUliwYAGPPPIIixcvBkBR5D4NIUTVKYrCl5vKLsP+q1sTmeDcxpr5unFzuA+K8tdgFSFE3XdDhZ3RaMTfv2xCy86dO7N27Vo++eQTXnnlFfkQFkJUy+ZjORzKvIiLo467OwarHU69MDwmFIBlW05SZDSpG4wQwipuqLDz8/Nj586dlsdeXl4kJCSwb9++cu1CCHGjPr+0LuzAyCAaGPQqR1M/3NrKj2BPZ84X/HVvoxCibruhwu7zzz/Hz8+vXJujoyNLlizhjz/+sGpgQoj6I+1CIT/vTgfgoW6h6gZTj+i0Gh6KKRuk8t+k43JLjRB24IYKu0aNGhEQEFDhczfddJNVAhJC1D9fbDyByawQHeZFmyB3tcOpV+6LCsHRQcvu07lsP3le7XCEENUk89gJIVRVZDSx+NKgiVE3haobTD3k5erIXRFBAPx3w3F1gxFCVJtDVTYKCwur0mCJCRMmMG7cuKocUghhp75POcO5AiPBns7EtvZXO5x6aURMKMuTT/HTrjRe7N8avwYGtUMSQlRRlQq7hQsXVulgoaGhVdpOCGGfFEVhwaWzRMNjmuCgk4sIamjfyINOjT3ZlnqeL5JOEN+3pdohCSGqqEqFXc+ePa0dhxCiHtp0LId9abkY9FqGdglRO5x67ZEeTdm2eBtfbErlyd7NMeh1aockhKgCq/x5bDQaOXnyJAcOHCAnJ8cauxRC1AML1x8H4O6OjfB0cVQ3mHourq0/wZ7O5OSX8O32K5eNFELUDVUu7PLy8pg9ezY9e/bE3d2d0NBQWrduja+vL02aNGH06NFs2bLFmrEKIezIyZwCft1bNsWJDJpQn4NOa/l3+OzPYzL1iRB1VJUKu+nTpxMaGsqCBQuIjY1lxYoVpKSkcPDgQZKSkpg8eTKlpaX07duXfv36cejQIWvHLYSo4z778xhmBW4O96GFfwO1wxHAfV1CcHNy4HDmRf44eFbtcIQQVVCle+y2bNnC2rVradu2bYXPd+3alYcffpg5c+awYMEC1q1bR3h4eLUCFULYj3P5JSzbchKAx25pqnI04jJ3g56hXUL47M9jfPbnMXq19Lv+RkKIWqVKhd2SJUsq1c/JyYknnniiKocQQtixLzaeoNBook2gOz2a+6gdjvibkd1DWbD+GOsOZXEgPY+WAXI2VYi6pNqDJ7p3705ubq41YhFC1ANFRhOLko4D8HjPplWaE1PYToiXC/3ala0wNG/dUZWjEULcqGoXdhs3bqSoqOiK9tzcXJ5//vnq7l4IYWe+2XaarIslBHs6c0f7QLXDERUYfXPZ5fEV209z+nyhytEIIW5ElQu7wYMH8+abb6LRaMjMzLzi+fz8fN59991qBXfZrFmzCA0NxWAwEB0dzebNm6/Z/+uvv6ZVq1YYDAbat2/PypUryz3/zTff0LdvX7y9vdFoNKSkpFglTiHEtZnNCp9eOgv0cI8w9DIhca3UsXFDujfzptSsMG+tnLUToi6p8qdq48aN+fHHH1EUhYiICPz8/OjTpw/PPPMMX3zxBR9//DGBgdX/a3zZsmXEx8czefJktm3bRkREBHFxcRUWkwAbNmxg2LBhPPLII2zfvp1BgwYxaNAgdu/ebemTn59Pjx49eOutt6odnxCi8hL2ZXA0Kx93gwP3y4TEtdqTvZoDsHRLKtkXi1WORghRWVUaPAFlU54AODo6sn79es6cOcP27dtJSUnh22+/xWw28/bbb1c7wOnTpzN69GhGjRoFwJw5c/jpp5+YP38+L7zwwhX9Z8yYQb9+/Xj22WcBePXVV0lISGDmzJnMmTMHgIceegiA48ePVzs+IUTlKIrCx6sPA/Cvbk1wdaryx4+oATc196ZDIw92nrrAgvXHeSZOlhkToi6o9idrfn4+er0egIEDB1Y7oL8rKSkhOTmZiRMnWtq0Wi2xsbEkJSVVuE1SUhLx8fHl2uLi4lixYkWV4yguLqa4+K+/WC8PFjEajRiNxirvV1zpcj4lr9andm7XHspix6kLOOu1DI9uZFf/xmrn1lYevzmUp5bsYFHScR7u3pgGhpovxu01t7WB5NZ21MxplX5LU1NTady4MYClqLuW06dPExwcfMPHycrKwmQy4e/vX67d39+f/fv3V7hNenp6hf3T09Nv+PiXTZs2jalTp17Rvnr1alxcXKq8X3F1CQkJaodgt9TIraLAB7t1gIZuPqVsWptY4zHUBHt735oV8HfWkVFYyuTPE4gNVm81CnvLbW0iubW+goIC1Y5dpcKuS5cuDBo0iEcffZQuXbpU2OfChQt89dVXzJgxg8cee4xx48ZVK1A1TZw4sdxZwNzcXEJCQujduzfe3t4qRmZ/jEYjCQkJ9OnTp1J/NIjKUzO3649kc3xjMk4OWl5/qCe+DZxq9Pi2Zs/v25Kg0zz/zR6Scpx5fcTNODvqavT49pxbtUlubSc7O1u1Y1epsNu7dy+vv/46ffr0wWAw0LlzZ4KCgjAYDJw7d469e/eyZ88eOnXqxNtvv80dd9xRpeB8fHzQ6XRkZGSUa8/IyCAgIKDCbQICAm6of2U4OTnh5HTlf0R6vV5+GWxEcms7NZ1bRVGYtaZsZOUD0Y0J8nKrsWPXNHt8397TuTEfrT7KqXOFLEs+w2iVVgqxx9zWFpJb61Mzn1UaFevt7c306dNJS0tj5syZhIeHk5WVZVkT9sEHHyQ5OZmkpKQqF3VQNjCjc+fOJCb+ddnGbDaTmJhITExMhdvExMSU6w9lp5mv1l8IYVsbj+aw5fg5HB20PNGzmdrhiBuk12kZd1vZkpCz/zhCfnGpyhEJIa6lWnfCOjs7M3jwYAYPHmyteK4QHx/PiBEjiIqKomvXrnzwwQfk5+dbRskOHz6c4OBgpk2bBsD48ePp2bMn7733Hv3792fp0qVs3bqVuXPnWvaZk5NDamoqZ86cAeDAgQNA2dm+6pzZE0Jc6cPEsj/47u8Sgr+7QeVoRFXc0zGY2WuOcCwrn4UbjvNU7+ZqhySEuIpqzw66d+9ezGazNWKp0NChQ3n33XeZNGkSkZGRpKSksGrVKssAidTUVNLS0iz9u3fvzuLFi5k7dy4REREsX76cFStW0K5dO0uf77//no4dO9K/f38A7r//fjp27GiZDkUIYR3rD2eRdDQbvU4jZ+vqMAedlgmxZWft5q49Sm6RjKIUoraq9tj1du3aYTAYaNOmDREREeW+PD09rRAijB07lrFjx1b43Jo1a65oGzJkCEOGDLnq/kaOHMnIkSOtEpsQomKKovDWqrLR6w9GNyHI01nliER13NkhiJm/H+ZQ5kU+W3eMp/u0UDskIUQFqn3G7o8//sDd3Z3g4GDy8vKYN2+eZbRoy5Ytefnllzl//rwVQhVC1CUrd6Wz89QFXB11jL1VLt3VdTqtxlLMzf/zGOfyS1SOSAhRkWoXduPHj2f27Nl89913fPXVV+zatYuEhATCwsL417/+xdq1a+nYsSNnz561RrxCiDrAaDLz7q9l966OvqUpPm72Nb1JfdWvbQBtAt3JKy5lzh9H1A5HCFGBahd2+/fvp23btuXabrvtNt5//3127NjBmjVriIqK4sUXX6zuoYQQdcSyLSc5lpWPt6sjj96szvQYwvq0Wg3P9itbWmzB+uOczFFvElYhRMWqXdh17tyZL7/88or2du3a8euvv6LRaHj22Wf57bffqnsoIUQdUFBSyoxLI2H/fWtz3GRNWLvSq4UvN4f7UGIy8+bPFa8AJIRQT7ULu3fffZfp06fz0EMPWZb5Kikp4f3338fLywsAX1/fKyYNFkLYp0/XHeNsXjEhXs48EN1E7XCElWk0Gv6vf2u0GvhpVxpbj+eoHZIQ4m+qXdhFR0eTlJTEmTNnaNOmDc7Ozri6ujJv3jzefPNNALZv305QUFC1gxVC1G6nzxfy8ZrDADwb1wpHh2p/xIhaqFWAO0O7hADw6k/7MJvVW0NWCFGeVa6RtGvXjsTERE6cOEFKSgoODg507tzZMtmvr6+vpcgTQtiv13/aS5HRTNcwLwZ0CFQ7HGFDT/dpwfcpZ9hx8jw/7DzDwMhgtUMSQmClwu6yJk2a0KTJlZdebr75ZmseRghRC60/nMXKXeloNTD1rrZoNBq1QxI25NfAwJO9m/POLwd46+f9xLb2x1XupxRCdVX6LQwLC6vSh/aECRMYN25cVQ4phKjFjCYzU77fA8BD3ZrQOtBd5YhETXikRxiLN6Vy+nwhMxIP8eIdrdUOSYh6r0qF3cKFC6t0sNDQ0CptJ4So3RZtOM6hzIt4uToS36el2uGIGmLQ63htUDtGLdzCZ38eY1BkMG2CpKgXQk1VKux69uxp7TiEEHVU2oVCZvxWNr3Jc3Et8XDRqxyRqEm9W/lxR/sAVu5K58Vvd/G/Md3RaeUyvBBqkSFrQogqUxSFid/sIq+4lI6NPbkvKkTtkIQKJg9oi5uTAyknz7N40wm1wxGiXpPCTghRZf/bdpo1B87i6KDlncEd0MqZmnrJ393Ac5dWpHh71QEycotUjkiI+ksKOyFElWTkFvHKD2UDJibEhtPcr4HKEQk1PRjdhIgQT/KKS5n4zS4URea2E0INUtgJIW6Yoij837e7yS0qpX2wB4/JerD1nk6r4e17O+DooOX3/Zl8uSlV7ZCEqJeksBNC3LBvt5/mt30Z6HUa3hnSAQedfJQIaBnQgOfiyi7JvvbTXo6cvahyRELUP/JpLIS4IUfPXuTlFbsB+Pet4bQKkOktxF8evimMm5p7U2Q08/SyFIwms9ohCVGvSGEnhKi0IqOJpxZvJ7/ERLemXjzVu7naIYlaRqvV8O6QCNwNDuw8dYEPEw+pHZIQ9YoUdkKISnv1x73sS8vF29WRGfd3lPnKRIUCPZx54572AMxcfZg1BzJVjkiI+kMKOyFEpfy48wxfbkpFo4H3h0bi725QOyRRi93ZIYhhXRujKDBuyXZOZOerHZIQ9YIUdkKI69qXlsvzy3cC8GSvZtzSwlfliERdMOWuNnRs7EluUSmPf55MQUmp2iEJYfeksBNCXFNmXhGPLNxCfomJmKbePB3bQu2QRB3h5KBjzr864+PmxP70PJ5bvlPmtxPCxqSwE0JcVWGJidGLtnLmQhFNfV2Z86/OMrWJuCH+7gZm/6sTDloNP+5MY4YMphDCpuQTWghRIbNZIf6rFHacukBDFz3zR3TBw0WvdliiDuoS6sXUgW0B+OC3Q3yxUdaTFcJWpLATQlxBURSm/LCHn3en46jT8slDUYT6uKodlqjDHoxuwrjbwgF4+bvdrNyVpnJEQtgnKeyEEOUoisIrP+7lv0kn0GjgnSEd6BrmpXZYwg48HRvOg9FlI2UnLE1h/eEstUMSwu5IYSeEsFAUhTdW7mPB+uMAvHVPBwZGBqsblLAbGo2GVwa24472AZSYzDyyaAtrD55VOywh7IoUdkIIoKyoe/Pn/cxbdwyAN+5uz31dQlSOStgbnVbD+0Mj6dXSlyKjmUcXbWXVbrksK4S1SGEnhKC41MTTy1L4ZO1RAF4d2JYHohurHJWwV04OOuY+FEX/9oGUmMw8+eU2liefUjssIeyCFHZC1HMXCoyMmL+ZFSln0Gk1vH1vBx6KCVU7LGHnHB20fDisI/dFNcKswDNf7+CjxEOYzTLPnRDVIYWdEPXYsax87p2zgY1Hc3BzcmDByC5y+VXUGJ1Ww5v3dODRHmEAvJdwkDFfJnOxWFaoEKKqpLATop5asf00d364jsOZFwlwN/D1EzGyVJiocVqthpfubMNb97bHUafllz0Z3D1rPUfPXlQ7NCHqJCnshKhnCkpKefbrHUxYlkJ+iYmuYV6seOomWge6qx2aqMeGdmnM0se74e/uxKHMi9z50Z98sfGELEEmxA2Swk6IeuTAeQ13zdrI18mn0Ghg/G3hLBndjQAPg9qhCUGnxg35YWwPosO8KCgx8dKK3YxatI1zxWpHJkTd4aB2AEII28vMK+LVH/bwwz4dUIC/uxMfDO1ITDNvtUMTohw/dwNLRndj4YbjvLVqP+uPZJOs01Hkd5xRPZri5KBTO0QhajUp7ISwY/nFpSzccJw5fxwhr6gUDQoPdWvCs/1a0cAg676K2kmr1fBwjzB6tfQl/qsUUk5e4M1VB1my5RQTb29FXNsANBqN2mEKUStJYSeEHSosMfHFxhPM+eMI2fklALQPdifOK4fH+7dCr5eiTtR+TX3dWPpoV6b+dxW/ZThzIruAJ77YRmSIJ0/0bEbfNv5otVLgCfF3UtgJYUdO5hTwxaYTLNtykvMFRgBCvV2YENuCfm18+WXVzypHKMSN0Wk1dPNTeH5YD+ZvSOWTtUdJOXmeJ75IpqmvK4/d3JS7IoNwcZT/zoQAKeyEqPMKSkpJ3JfJiu2n+f1AJpcHEYZ4OfPvW8O5p2MwDjotRqNR3UCFqAZXJwfi+7bkoZhQFqw/xucbT3D0bD4vfLOL137aR//2gQyJakTnJg3lMq2o16SwE6IOOpdfwvojWfyyJ4Pf9mZQaDRZnrs53IfhMaHc2soPnVymEnbGt4ETz/VrxZhezViyOZUvNqaSmlPAsq0nWbb1JMGezvRp40+fNv50DfNCr5PJH0T9Uife8bNmzSI0NBSDwUB0dDSbN2++Zv+vv/6aVq1aYTAYaN++PStXriz3vKIoTJo0icDAQJydnYmNjeXQoUO2fAlCVMu5/BJW78/k3V8OMHDWejq9lsDYxdv5YccZCo0mQrycebJXM36L78nnj0TTp42/FHXCrjUw6HnslmaseaYXSx/rxr2dGuGs13H6fCELNxznwU830fGVBEYu2MzsNUfYlnqOklKz2mELYXO1/ozdsmXLiI+PZ86cOURHR/PBBx8QFxfHgQMH8PPzu6L/hg0bGDZsGNOmTePOO+9k8eLFDBo0iG3bttGuXTsA3n77bT788EMWLVpEWFgYL7/8MnFxcezduxeDQebzEuopLjVx+lwhhzIvciA9jwMZeew9k8uxrPwr+rb0b8AtLXy4s0MQHRp5yOUnUS9ptRq6NfWmW1NvXhvUjj8PZ/Hb3gwS92eQdbGENQfOsubAWQD0Og0t/BvQLsiD1oENCPN1I8zblSBPAw5yZk/YiVpf2E2fPp3Ro0czatQoAObMmcNPP/3E/PnzeeGFF67oP2PGDPr168ezzz4LwKuvvkpCQgIzZ85kzpw5KIrCBx98wEsvvcTAgQMB+O9//4u/vz8rVqzg/vvvr7kXJ+qN4lIT5/KNZOcXk5NfYvnKvljCqXMFnDpXyMlzBWTkXn0m1qa+rkSGeBLT1Jubw31lUmEh/sHZUWe5DGsyK+xLy2XTsRw2Hs1my/EczhcY2XMmlz1ncsttp9dpCGnoQhNvF/zdDfg1cMLvb989nfW4O+tpYHCQS7ui1qvVhV1JSQnJyclMnDjR0qbVaomNjSUpKanCbZKSkoiPjy/XFhcXx4oVKwA4duwY6enpxMbGWp738PAgOjqapKSkGyrsNhzJxj277NT+P5e9qXARHOWfD6/s9c/VcypaTeefTRUtuXNln+sHdMWxK9qiKq+hwv1UvExQaamJlLMaSnekodOVn4jUVvm6WmqMZjPGUjOlZgWjSaHUZMZoMmM0X/5ZwWgyU3rpe6HRRH6JicKSUvKLTRSUlJJfYqKguOx7ZTnrdTT1daVlQANa+jegZUADIkM88XRxrPQ+hKjvdFoN7YI9aBfswSM9wlAUhVPnCtlz5gK7T+dyICOP41n5nMgpoKTUzNGsfI5WcGb8n5z1OtydHXA3lBV6Br0Og16Hk4P20pcOJ/1fPzs6aNFpNWg1GnRaLn3X/K1Ng+7vbZceazXw10n4v87G//3EvMbSpqmg7W/9ym2jsXQ0lZay95wGt0NZ6HS6CvcjqubChXOqHbtWF3ZZWVmYTCb8/f3Ltfv7+7N///4Kt0lPT6+wf3p6uuX5y21X6/NPxcXFFBf/dSYlN7fsr72nluxA6+RyA69IVI6Ozw/vUjsIq9NpNTR00ePl4oiXq56GLo54uToS6GEgpKEzwQ2dadTQGS8XfYWXVas7qvXy9jI61vokt7ZjzdwGNNAT0NKH21r6WNrMZoX03CKOZxdw8lwhmXnFZOYVc/by18UScguNlj/OCo0mCo2ma55dr1t0fLJ/m9pB2B1zcYFqx67VhV1tMW3aNKZOnXpFe6CzgoPhr/M9lbnFqTJ/Bf2zj9X2W8X9XG+zivdb/jyYmvFVdd86Dei0l75X8KXVgoMGdBoFnQYcdeCkvfRdB05aBScdOGrBVQ/OOtBojMA/fuEvln2dPgmnK/FaqishIaEGjlI/SW5tpyZy2+DSVzMHoOGlr0tMChSVQpEJCk1QWKqh0ARGc9lXqfnvP2swKn+1mZWyT0Szcu2fzZRddTArGssnaGWunFyvX4XPVXK/ompKtQonVTp2rS7sfHx80Ol0ZGRklGvPyMggICCgwm0CAgKu2f/y94yMDAIDA8v1iYyMrHCfEydOLHd5Nzc3l5CQEL4bdwve3rLWpjUZjUYSEhLo06ePrI5gZZJb25Hc2o7k1nYkt7aTnZ1N4DR1jl2rCztHR0c6d+5MYmIigwYNAsBsNpOYmMjYsWMr3CYmJobExEQmTJhgaUtISCAmJgaAsLAwAgICSExMtBRyubm5bNq0iTFjxlS4TycnJ5ycnK5o1+v18stgI5Jb25Hc2o7k1nYkt7YjubU+NfNZqws7gPj4eEaMGEFUVBRdu3blgw8+ID8/3zJKdvjw4QQHBzNtWllpPH78eHr27Ml7771H//79Wbp0KVu3bmXu3LlA2U2mEyZM4LXXXiM8PNwy3UlQUJCleBRCCCGEqItqfWE3dOhQzp49y6RJk0hPTycyMpJVq1ZZBj+kpqai1f41/Lx79+4sXryYl156iRdffJHw8HBWrFhhmcMO4LnnniM/P5/HHnuM8+fP06NHD1atWiVz2AkhhBCiTqv1hR3A2LFjr3rpdc2aNVe0DRkyhCFDhlx1fxqNhldeeYVXXnnFWiEKIYQQQqhOZloUQgghhLATdeKMXW1zeYLbvLw8ueHUyoxGIwUFBeTm5kpurUxyazuSW9uR3NqO5NZ28vLygKtPxm9LUthVQXZ2NlA2wlYIIYQQoiLZ2dl4eHjU6DGlsKsCLy8voGzgRk3/g9m7y3MEnjx5End3d7XDsSuSW9uR3NqO5NZ2JLe2c+HCBRo3bmypF2qSFHZVcHkUroeHh/wy2Ii7u7vk1kYkt7YjubUdya3tSG5t5++zdtTYMWv8iEIIIYQQwiaksBNCCCGEsBNS2FWBk5MTkydPrnCZMVE9klvbkdzajuTWdiS3tiO5tR01c6tR1BiLK4QQQgghrE7O2AkhhBBC2Akp7IQQQggh7IQUdkIIIYQQdkIKu+t4/fXX6d69Oy4uLnh6elbYR6PRXPG1dOnScn3WrFlDp06dcHJyonnz5ixcuND2wddylcltamoq/fv3x8XFBT8/P5599llKS0vL9ZHcXl9oaOgV79E333yzXJ+dO3dy8803YzAYCAkJ4e2331Yp2rpn1qxZhIaGYjAYiI6OZvPmzWqHVOdMmTLlivdoq1atLM8XFRXx1FNP4e3tjZubG/feey8ZGRkqRlx7rV27lgEDBhAUFIRGo2HFihXlnlcUhUmTJhEYGIizszOxsbEcOnSoXJ+cnBwefPBB3N3d8fT05JFHHuHixYs1+Cpqp+vlduTIkVe8j/v161euj61zK4XddZSUlDBkyBDGjBlzzX4LFiwgLS3N8jVo0CDLc8eOHaN///707t2blJQUJkyYwKOPPsovv/xi4+hrt+vl1mQy0b9/f0pKStiwYQOLFi1i4cKFTJo0ydJHclt5r7zySrn36L///W/Lc7m5ufTt25cmTZqQnJzMO++8w5QpU5g7d66KEdcNy5YtIz4+nsmTJ7Nt2zYiIiKIi4sjMzNT7dDqnLZt25Z7j/7555+W555++ml++OEHvv76a/744w/OnDnDPffco2K0tVd+fj4RERHMmjWrwufffvttPvzwQ+bMmcOmTZtwdXUlLi6OoqIiS58HH3yQPXv2kJCQwI8//sjatWt57LHHauol1FrXyy1Av379yr2PlyxZUu55m+dWEZWyYMECxcPDo8LnAOXbb7+96rbPPfec0rZt23JtQ4cOVeLi4qwYYd11tdyuXLlS0Wq1Snp6uqVt9uzZiru7u1JcXKwoiuS2spo0aaK8//77V33+448/Vho2bGjJq6IoyvPPP6+0bNmyBqKr27p27ao89dRTlscmk0kJCgpSpk2bpmJUdc/kyZOViIiICp87f/68otfrla+//trStm/fPgVQkpKSaijCuumf/z+ZzWYlICBAeeeddyxt58+fV5ycnJQlS5YoiqIoe/fuVQBly5Ytlj4///yzotFolNOnT9dY7LVdRf/3jxgxQhk4cOBVt6mJ3MoZOyt56qmn8PHxoWvXrsyfPx/lb7PIJCUlERsbW65/XFwcSUlJNR1mnZKUlET79u3x9/e3tMXFxZGbm8uePXssfSS3lfPmm2/i7e1Nx44deeedd8pd0k5KSuKWW27B0dHR0hYXF8eBAwc4d+6cGuHWCSUlJSQnJ5d7D2q1WmJjY+U9WAWHDh0iKCiIpk2b8uCDD5KamgpAcnIyRqOxXJ5btWpF48aNJc836NixY6Snp5fLpYeHB9HR0ZZcJiUl4enpSVRUlKVPbGwsWq2WTZs21XjMdc2aNWvw8/OjZcuWjBkzhuzsbMtzNZFbWSvWCl555RVuvfVWXFxc+PXXX3nyySe5ePEi48aNAyA9Pb1ccQLg7+9Pbm4uhYWFODs7qxF2rXe1vF1+7lp9JLfljRs3jk6dOuHl5cWGDRuYOHEiaWlpTJ8+HSjLY1hYWLlt/p7rhg0b1njMdUFWVhYmk6nC9+D+/ftViqpuio6OZuHChbRs2ZK0tDSmTp3KzTffzO7du0lPT8fR0fGKe3H9/f0tnwWici7nq6L37N8/V/38/Mo97+DggJeXl+T7Ovr168c999xDWFgYR44c4cUXX+T2228nKSkJnU5XI7mtl4XdCy+8wFtvvXXNPvv27St34+61vPzyy5afO3bsSH5+Pu+8846lsKtPrJ1bcXU3kuv4+HhLW4cOHXB0dOTxxx9n2rRpMuu8qBVuv/12y88dOnQgOjqaJk2a8NVXX8kfaKLOuP/++y0/t2/fng4dOtCsWTPWrFnDbbfdViMx1MvC7j//+Q8jR468Zp+mTZtWef/R0dG8+uqrFBcX4+TkREBAwBWjtzIyMnB3d7e7Dyxr5jYgIOCK0YWX8xgQEGD5Xl9y+0/VyXV0dDSlpaUcP36cli1bXjWP8FeuxZV8fHzQ6XQV5k7yVj2enp60aNGCw4cP06dPH0pKSjh//ny5s3aS5xt3OV8ZGRkEBgZa2jMyMoiMjLT0+efgn9LSUnJyciTfN6hp06b4+Phw+PBhbrvtthrJbb0s7Hx9ffH19bXZ/lNSUmjYsKHlTEhMTAwrV64s1ychIYGYmBibxaAWa+Y2JiaG119/nczMTMup64SEBNzd3WnTpo2lT33J7T9VJ9cpKSlotVpLXmNiYvi///s/jEYjer0eKMtjy5Yt5TLsNTg6OtK5c2cSExMtI+HNZjOJiYmMHTtW3eDquIsXL3LkyBEeeughOnfujF6vJzExkXvvvReAAwcOkJqaWi9+160pLCyMgIAAEhMTLYVcbm4umzZtssxQEBMTw/nz50lOTqZz584A/P7775jNZqKjo9UKvU46deoU2dnZliK6RnJrlSEYduzEiRPK9u3blalTpypubm7K9u3ble3btyt5eXmKoijK999/r8ybN0/ZtWuXcujQIeXjjz9WXFxclEmTJln2cfToUcXFxUV59tlnlX379imzZs1SdDqdsmrVKrVeVq1wvdyWlpYq7dq1U/r27aukpKQoq1atUnx9fZWJEyda9iG5vb4NGzYo77//vpKSkqIcOXJE+eKLLxRfX19l+PDhlj7nz59X/P39lYceekjZvXu3snTpUsXFxUX55JNPVIy8bli6dKni5OSkLFy4UNm7d6/y2GOPKZ6enuVGc4vr+89//qOsWbNGOXbsmLJ+/XolNjZW8fHxUTIzMxVFUZQnnnhCady4sfL7778rW7duVWJiYpSYmBiVo66d8vLyLJ+ngDJ9+nRl+/btyokTJxRFUZQ333xT8fT0VL777jtl586dysCBA5WwsDClsLDQso9+/fopHTt2VDZt2qT8+eefSnh4uDJs2DC1XlKtca3c5uXlKc8884ySlJSkHDt2TPntt9+UTp06KeHh4UpRUZFlH7bOrRR21zFixAgFuOJr9erViqKUDVOOjIxU3NzcFFdXVyUiIkKZM2eOYjKZyu1n9erVSmRkpOLo6Kg0bdpUWbBgQc2/mFrmerlVFEU5fvy4cvvttyvOzs6Kj4+P8p///EcxGo3l9iO5vbbk5GQlOjpa8fDwUAwGg9K6dWvljTfeKPdBoyiKsmPHDqVHjx6Kk5OTEhwcrLz55psqRVz3fPTRR0rjxo0VR0dHpWvXrsrGjRvVDqnOGTp0qBIYGKg4OjoqwcHBytChQ5XDhw9bni8sLFSefPJJpWHDhoqLi4ty9913K2lpaSpGXHutXr26ws/WESNGKIpSNuXJyy+/rPj7+ytOTk7Kbbfdphw4cKDcPrKzs5Vhw4Ypbm5uiru7uzJq1CjLH9312bVyW1BQoPTt21fx9fVV9Hq90qRJE2X06NFX/JFn69xqFOVv83IIIYQQQog6S+axE0IIIYSwE1LYCSGEEELYCSnshBBCCCHshBR2QgghhBB2Qgo7IYQQQgg7IYWdEEIIIYSdkMJOCCGEEMJOSGEnhBBCCGEnpLATQgghhLATUtgJIYQQQtgJKeyEEALo1asXEyZMqPZ+srOz8fPz4/jx49Xe12X3338/7733ntX2J4SwX7JWrBCiXnj66ac5ceIE33zzTYXP5+TkoNfradCgQbWOEx8fT15eHvPmzavWfv5u9+7d3HLLLRw7dgwPDw+r7VcIYX/kjJ0Qol7YvHkzUVFRV33ey8ur2kVdQUEBn332GY888ki19vNP7dq1o1mzZnzxxRdW3a8Qwv5IYSeEsGslJSXo9Xo2bNjA//3f/6HRaOjWrdsV/f55KbZXr16MGzeO5557Di8vLwICApgyZco1j7Vy5UqcnJyu2H+vXr0YO3YsY8eOxcPDAx8fH15++WX+fsFk+fLltG/fHmdnZ7y9vYmNjSU/P9/y/IABA1i6dGnVkiCEqDeksBNC2DUHBwfWr18PQEpKCmlpaaxatapS2y5atAhXV1c2bdrE22+/zSuvvEJCQsJV+69bt47OnTtfdV8ODg5s3ryZGTNmMH36dD799FMA0tLSGDZsGA8//DD79u1jzZo13HPPPeUKv65du7J582aKi4sr+9KFEPWQg9oBCCGELWm1Ws6cOYO3tzcRERE3tG2HDh2YPHkyAOHh4cycOZPExET69OlTYf8TJ04QFBRU4XMhISG8//77aDQaWrZsya5du3j//fcZPXo0aWlplJaWcs8999CkSRMA2rdvX277oKAgSkpKSE9Pt/QRQoh/kjN2Qgi7t3379hsu6qCssPu7wMBAMjMzr9q/sLAQg8FQ4XPdunVDo9FYHsfExHDo0CFMJhMRERHcdttttG/fniFDhjBv3jzOnTtXbntnZ2eg7D4+IYS4GinshBB2LyUlpUqFnV6vL/dYo9FgNpuv2t/Hx+eKgqwydDodCQkJ/Pzzz7Rp04aPPvqIli1bcuzYMUufnJwcAHx9fW94/0KI+kMKOyGE3du1axeRkZE2P07Hjh3Zu3dvhc9t2rSp3OONGzcSHh6OTqcDyorGm266ialTp7J9+3YcHR359ttvLf13795No0aN8PHxsd0LEELUeVLYCSHsntls5sCBA5w5c4YLFy7Y7DhxcXHs2bOnwrN2qampxMfHc+DAAZYsWcJHH33E+PHjgbKi74033mDr1q2kpqbyzTffcPbsWVq3bm3Zft26dfTt29dmsQsh7IMUdkIIu/faa6+xcOFCgoODee2112x2nPbt29OpUye++uqrK54bPnw4hYWFdO3alaeeeorx48fz2GOPAeDu7s7atWu54447aNGiBS+99BLvvfcet99+OwBFRUWsWLGC0aNH2yx2IYR9kJUnhBDCin766SeeffZZdu/ejVZb9rdzr169iIyM5IMPPqjSPmfPns23337Lr7/+asVIhRD2SKY7EUIIK+rfvz+HDh3i9OnThISEWGWfer2ejz76yCr7EkLYNynshBDCyv6+goU1PProo1bdnxDCfsmlWCGEEEIIOyGDJ4QQQggh7IQUdkIIIYQQdkIKOyGEEEIIOyGFnRBCCCGEnZDCTgghhBDCTkhhJ4QQQghhJ6SwE0IIIYSwE1LYCSGEEELYCSnshBBCCCHshBR2QgghhBB2Qgo7IYQQQgg7IYWdEEIIIYSdkMJOCCGEEMJOSGEnhBBCCGEnpLATQgghhLATDmoHUBeZzWbOnDlDgwYN0Gg0aocjhBBCiFpEURTy8vIICgpCq63Zc2hS2FXBmTNnCAkJUTsMIYQQQtRiJ0+epFGjRjV6TCnsqqBBgwYAHDt2DC8vL5WjsS9Go5Fff/2Vvn37otfr1Q7HrkhubUdyazuSW9uR3NpOTk4OYWFhlnqhJklhVwWXL782aNAAd3d3laOxL0ajERcXF9zd3eWDxsokt7YjubUdya3tSG5tx2g0Aqhyu1adHzyxdu1aBgwYQFBQEBqNhhUrVlx3mzVr1tCpUyecnJxo3rw5CxcutHmcQgghhBC2VucLu/z8fCIiIpg1a1al+h87doz+/fvTu3dvUlJSmDBhAo8++ii//PKLjSMVQgghhLCtOn8p9vbbb+f222+vdP85c+YQFhbGe++9B0Dr1q35888/ef/994mLi7NVmEIIIYQQNlfnC7sblZSURGxsbLm2uLg4JkyYoE5AQog6J6/IyKlzhZw6V0jahUKKjaXsTdOQmXSCBgZHGjV0oVFDZwI9DTg56NQOVwhRj9S7wi49PR1/f/9ybf7+/uTm5lJYWIizs/MV2xQXF1NcXGx5nJubC5TdHHn5BklhHZfzKXm1Pslt1aVdKGLj0Rw2Hc9h09EcTp0vqqCXjm+PHyjXotVAm0B3osMaEh3mRZfQhrg51buP3WqR963tSG5tR82cyidMJUybNo2pU6de0b569WpcXFxUiMj+JSQkqB2C3ZLcVk6RCVKyNWzO1HIk78qRbS4OCt5O0NBJweFvTxeaIKdYQ04xGM0adp/JZfeZXD5bfwK9RqGDt0JXX4UWHgpamd+80uR9azuSW+srKChQ7dj1rrALCAggIyOjXFtGRgbu7u4Vnq0DmDhxIvHx8ZbHubm5hISE0Lt3b7y9vW0ab31jNBpJSEigT58+MvzeyiS3lXPqXCGfrDvGdylnKDSaAdBooH2wO9GhXnRr6kVkIw/cnf/KYUW5VRSF9NxiNh8/x6ZjOSQdzeHUuUKSszQkZ0Ggh4Hh3RrzQNdGuDjWu4/iSpP3re1Ibm0nOztbtWPXu0+TmJgYVq5cWa4tISGBmJiYq27j5OSEk5PTFe16vV5+GWxEcms7ktuKncwpYNbqwyxPPkWpWQGgqY8rg6MacXfHYAI9Kv7D7+/+mdvGPo409mnA4KjGKIrCzlMXWJ58iu93nCHtQhFv/XKQT/88zuhbmvJQtya4ymXaq5L3re1Ibq1PzXzW+U+RixcvcvjwYcvjY8eOkZKSgpeXF40bN2bixImcPn2a//73vwA88cQTzJw5k+eee46HH36Y33//na+++oqffvpJrZcghFBRQUkpHyYe5tN1Ry0FXY/mPoy9tTnRYV5Wm2BUo9EQEeJJRIgn/9e/Nd+nnGHm6sOk5hTw5s/7+XTdMV6+szV3RQTJGtRCiCqr84Xd1q1b6d27t+Xx5UumI0aMYOHChaSlpZGammp5PiwsjJ9++omnn36aGTNm0KhRIz799FOZ6kSIeujXPelM/WEvp88XAnBzuA8TYsPp3MS2SwUa9Dru6xLC3Z2CWbH9NDNXH+ZEdgHjl6awbMtJXhnYjuZ+bjaNQQhhn+p8YderVy8URbnq8xWtKtGrVy+2b99uw6iEELXZ+YISJn6zi593pwMQ7OnM1LvaEtvG/zpbWpdep2VIVAh3RQYxb+1RPvr9MBuOZHP7jLU83acFT9zSDK2MsBBC3IA6v/KEEELciI1Hs7l9xjp+3p2Og1bDk72a8Vt8zxov6v7OyUHH2FvD+S2+J7e28sNoUnh71QEemr+JjNyKplYRQoiKSWEnhKgXTGaF9349wLB5G0m7UERTH1dWPHUTz/VrhbNj7ZhEOMTLhc9GRPH2vR1w1utYfzibfh+sJXFfxvU3FkIIpLATQtQDuUVGHl64hY9+P4yiwJDOjfjh3z1oF+yhdmhX0Gg03NclhB/H9aBtkDvnCow8smgrs1YfvuZtJ0IIAVLYCSHs3PGsfO6etZ4/Dp7FoNcy4/5I3hkSUeunFmnm68Y3T3ZnREwTAN755QDjl6ZQZDSpHJkQojaTwk4IYbc2HMli4Kz1HDmbT6CHgeVPdGdgZLDaYVWak4OOqQPb8cbd7XHQavh+xxmGfpJEptx3J4S4CinshBB2adXuNEbO38KFQiORIZ5899RNtfLSa2U8EN2Yzx+JxtNFz45TFxg8J4nUbPWWLBJC1F5S2Akh7M6yLak8+eU2Skxmbm8XwNLHuuHnblA7rGqJaebNd0/dRGMvF1JzCrh3zgb2p+eqHZYQopaRwk4IYVc++eMIz/9vF2YFhkaFMPOBThj0tWPUa3U18XZl+RMxtApowNm8Yu6bk0TyiRy1wxJC1CJS2Akh7MbM3w8x7ef9ADzesylv3tsenZ1N8OvnbmDZYzF0auxJblEpD322ma3HpbgTQpSRwk4IYRfm/HGEd389CMCzcS2ZeHtru11z1cNFzxePRtOjuQ8FJSZGzN/MttRzaoclhKgFpLATQtR5n647ypuXztQ907cFT/VurnJEtufi6MC84VHENPUmv8TEiM82s+PkebXDEkKoTAo7IUSd9t+k47z20z4AJsSGM/bWcJUjqjnOjjo+GxlF1zAv8opLeeizTew5c0HtsIQQKpLCTghRZ32/4wyTv98DwNjezRl/W/0p6i5zcXRgwcguRDVpSG5RKSPmb+FEdr7aYQkhVCKFnRCiTlp36Cz/+SoFRYGR3UP5T98WdntP3fW4Ojkwf1QXWge6k3WxmOHzN3M2r1jtsIQQKpDCTghR5+w4eZ7HP0/GaFK4s0Mgk+5sU2+LusvcDXoWjepCiJczJ7ILGLlgM3lFRrXDEkLUMCnshBB1yonsfEYt3EJBiYkezX14774ItHY2pUlV+bkb+PzhaLxdHdlzJpfHP0+mpNSsdlhCiBokhZ0Qos7ILTLyyKKt5OSX0C7YnTkPdcbJwT4mH7aWUB9XFj3cFVdHHRuOZPPyit0oiqJ2WEKIGiKFnRCiTig1mXnqy20czrxIgLuBz0Z0wc3JQe2waqV2wR7MfKATWg0s23qST9YeVTskIUQNkcJOCFEnvPrjXtYdysJZr+PTEVH41/G1X22tdys/Jg9oC8CbP+9n1e40lSMSQtQEKeyEELXe50nHWZR0AoD3h0bQLthD5YjqhhHdQxnZPRSACctS2HVK5rgTwt7ZTWE3a9YsQkNDMRgMREdHs3nz5mv2/+CDD2jZsiXOzs6EhITw9NNPU1RUVEPRCiEqa92hs0z5YS9QtlRYv3aBKkdUt7zUvzW9W/pSZDTz+Odbyb4o06AIYc/sorBbtmwZ8fHxTJ48mW3bthEREUFcXByZmZkV9l+8eDEvvPACkydPZt++fXz22WcsW7aMF198sYYjF0Jcy5GzF3nyy22YzAr3dAzmyV7N1A6pznHQaZkxrCNNfVw5c6GIpxZvo9QkI2WFsFd2UdhNnz6d0aNHM2rUKNq0acOcOXNwcXFh/vz5FfbfsGEDN910Ew888AChoaH07duXYcOGXfcsnxCi5uQXl/L458nkFZXSuUlDpt3bvt7PVVdV7gY9nzzUGVdHHRuP5jDt0rq6Qgj7U+cLu5KSEpKTk4mNjbW0abVaYmNjSUpKqnCb7t27k5ycbCnkjh49ysqVK7njjjtqJGYhxLUpisLz/9vJ4cyL+DVwYva/Osm0JtUU7t+A9+6LAOCzP4+xYvtplSMSQthCnZ8rICsrC5PJhL+/f7l2f39/9u+v+K/SBx54gKysLHr06IGiKJSWlvLEE09c9VJscXExxcV/3ZeSm5sLgNFoxGiUmd2t6XI+Ja/WV5dyu2DDCX7cmYaDVsOHQzvQ0KCr1XHXldze1tKHMT3DmP3HMV74ZiehXgbaBrmrHdY11ZXc1kWSW9tRM6d1vrCrijVr1vDGG2/w8ccfEx0dzeHDhxk/fjyvvvoqL7/88hX9p02bxtSpU69oX716NS4uLjURcr2TkJCgdgh2q7bn9kguzNyrAzTc1biUjD1JrNyjdlSVU9tzC9BCgdaeWvadh4fnJ/Gf9ibc9GpHdX11Ibd1leTW+goKClQ7tkap41OSl5SU4OLiwvLlyxk0aJClfcSIEZw/f57vvvvuim1uvvlmunXrxjvvvGNp++KLL3jssce4ePEiWm35K9QVnbELCQkhLS0Nb29v67+oesxoNJKQkECfPn3Q6+vA/zZ1SF3IbWZeMYM+TuLsxRLubB/A9CF14766upDbv7tQaOSeORtJzSnk5ubefPpQp1q7LFtdy21dIrm1nezsbAIDA7lw4QLu7jV7VrzOn7FzdHSkc+fOJCYmWgo7s9lMYmIiY8eOrXCbgoKCK4o3na7s/p2K6lwnJyecnJyuaNfr9fLLYCOSW9uprbk1msw8/dUuzl4soYW/G28PicDRsW59RNXW3P6Tj17P3OFRDJq1nnWHs/l0QypP9W6udljXVFdyWxdJbq1PzXzW+cETAPHx8cybN49Fixaxb98+xowZQ35+PqNGjQJg+PDhTJw40dJ/wIABzJ49m6VLl3Ls2DESEhJ4+eWXGTBggKXAE0LUrHd+OcDm4zm4OTkw51+dcaljRV1d0yrAnVcGtgPgvV8PsPlYjsoRCSGswS4+OYcOHcrZs2eZNGkS6enpREZGsmrVKsuAitTU1HJn6F566SU0Gg0vvfQSp0+fxtfXlwEDBvD666+r9RKEqNdWH8hk7qX1TN8dEkFTXzeVI6ofhnRuxMaj2Xyz7TT/XrKNleNuxtvtyqsTQoi6wy4KO4CxY8de9dLrmjVryj12cHBg8uTJTJ48uQYiE0JcS0ZuEf/5agcAI7uH0q9dgMoR1R8ajYbXBrVj56kLHM68yNNf7WDhyC619n47IcT12cWlWCFE3WQyKzy9LIWc/BLaBLrzwu2t1A6p3nFxdGDWA50w6LWsPXiW2X8cUTskIUQ1SGEnhFDN7DWH2XAkGxdHHR890BGDXu5xVUPLgAZyv50QdkIKOyGEKrYcz+H93w4B8OrAdjST++pUNaRzI+7pFIxZgXFLtnMuv0TtkIQQVSCFnRCixp0vKGH8ku2YzAr3dAzm3s6N1A6p3rt8v11TX1fSc4uY+M2uCqd/EkLUblLYCSFqlKIoPLd8J2cuFBHm48org9qpHZK4xMXRgQ/v74hep2HVnnSWbjmpdkhCiBskhZ0QokZ9vvEEv+7NQK/T8NGwjrg52c3gfLvQLtiDZ+NaAvDKD3s5nHlR5YiEEDdCCjshRI3ZeyaX137aB8DE21vTLthD5YhERR7t0ZQezX0oNJoYv3Q7xaUmtUMSQlSSFHZCiBpRdKlIKCk1c1srP0bdFKp2SOIqtFoN790XQUMXPXvO5PLerwfVDkkIUUlS2AkhasSbP+/nUOZFfBs48c6QCDQamQS3NvN3N/D24AgA5q49yrpDZ1WOSAhRGVLYCSFsbu3BsyzccByAdwZ3wMvVUd2ARKX0aePPv7o1BuA/X+0g+2KxyhEJIa5HCjshhE2dyy/hma/LlgwbHtOEXi39VI5I3Ij/u6MNzf3cyMwr5vn/7ZQpUISo5aSwE0LYjKIovPjtLjLzimnm68rE21urHZK4Qc6OOj68vyOOOi2/7cvki02paockhLgGKeyEEDbzv22n+Xl3Og5aDTPu74izoywZVhe1CXLn+Uvr+L72414OZ+apHJEQ4mqksBNC2MTJnAKmfL8HgKf7tJCpTeq4Ud1DuTnch+JSMxOWpVBSalY7JCFEBaSwE0JYncms8PSyFC4Wl9IltCFP9GymdkiimrRaDe8OKZsCZffpXD74TaZAEaI2snlhp9PJpRch6ps5fxxh64lzuDk5MP2+SHRamdrEHvi7G5h2T3sAZv9xhE1Hs1WOSAjxTzYv7GQElRD1y65TF3g/oexszpS72hLi5aJyRMKa+rUL5L6oRigKxH+1g9wio9ohCSH+xuaFnUxCKkT9UVhiYvyy7ZSaFe5oH8C9nYLVDknYwKQBbWns5cLp84VM/m6P2uEIIf6m0oXd3r17effddzlz5gwA3377rc2CEkLUTdN+3sfRs/n4NXDi9UHt5Q87O+Xm5MD7QyPRauDb7af5fscZtUMSQlxS6cJu6tSp9OnTh6lTp7Jjxw4SEhJsGZcQoo5ZfSCT/yadACi7yV5Wl7BrnZs0ZOyt4QC89O0uzpwvVDkiIQTcQGHn6elJREQEc+bMYcGCBezcudOWcd2wWbNmERoaisFgIDo6ms2bN1+z//nz53nqqacIDAzEycmJFi1asHLlyhqKVgj7kn2xmOeWl30mjOweyi0tfFWOSNSEf9/anIgQT3KLSon/KgWzWe6pFkJtlS7s+vTpA5TdM/f+++8zcOBAmwV1o5YtW0Z8fDyTJ09m27ZtREREEBcXR2ZmZoX9S0pK6NOnD8ePH2f58uUcOHCAefPmERws9wMJcaMURWHiN7s4m1dMuJ8bL1yayFbYP71OywdDI3Fx1LHxaA6f/nlU7ZCEqPcqXdgNHjzY8rNGo+HZZ5+1SUBVMX36dEaPHs2oUaNo06YNc+bMwcXFhfnz51fYf/78+eTk5LBixQpuuukmQkND6dmzJxERETUcuRB139dbT/Hr3gz0Og0f3B+JQS9THNUnYT6uTLqzDQDv/HKAvWdyVY5IiPrNobIde/fufc0boRVFQaPRMHLkSIYPH26V4CqjpKSE5ORkJk6caGnTarXExsaSlJRU4Tbff/89MTExPPXUU3z33Xf4+vrywAMP8Pzzz8u8e0LcgNTsAqb+UDYqMr5PS9oGyeoS9dHQLiEk7s8kYW8GE5Zt5/uxPaTAF0IllS7sVq9ebcs4qiwrKwuTyYS/v3+5dn9/f/bv31/hNkePHuX333/nwQcfZOXKlRw+fJgnn3wSo9HI5MmTr+hfXFxMcXGx5XFubtlfpEajEaNR5nCypsv5lLxan7VzW7a6xHbyS0xENfFkVExIvf13k/ctvHpXa7annuNgxkXe+GkvL/e3ziV5ya3tSG5tR82cVrqwqypFUdi7dy8rV67kgQceICgoiG+//Za7777b1oe+KrPZjJ+fH3PnzkWn09G5c2dOnz7NO++8U2FhN23aNKZOnXpF++rVq3FxkclXbUFGXduOtXL76ykNySd1OOkU7vDK4pdVP1tlv3VZfX/f3ttIwyf7dfx3YyouF47R2tN6gynqe25tSXJrfQUFBaod+4YKu02bNrF48WI2bNhAWloaLi4utG7dmttvv51hw4bh4VHxZZipU6fy4osvMnXqVJ588kkSEhKsVtj5+Pig0+nIyMgo156RkUFAQECF2wQGBqLX68tddm3dujXp6emUlJTg6Fh+moaJEycSHx9veZybm0tISAi9e/fG29vbKq9DlDEajSQkJNCnTx/0er3a4dgVa+Z2z5lcftm0CVB4ZWA77ulYvwceyfu2zB1AwY/7+HzTSf530pkfB3bHq5rT3khubUdyazvZ2eott1fpwu7OO++kUaNGDBgwgBdeeAFfX1+Kioo4fPgwf/zxB4MHD+bf//43d9111xXbNmzY0DJVytNPP23VqVIcHR3p3LkziYmJDBo0CCg7I5eYmMjYsWMr3Oamm25i8eLFmM1mtNqy8SMHDx4kMDDwiqIOwMnJCScnpyva9Xq9/DLYiOTWdqqb2yKjiWf+t5tSs8Lt7QK4r0sTmYj4Ennfwov925J07ByHMy8y+Yf9zP5XJ6u8PyS3tiO5tT4181npUbFffPEFc+bMoX///gQGBuLg4ICbmxuRkZGMHz+ehIQEbrnllgq3tfVUKfHx8cybN49Fixaxb98+xowZQ35+PqNGjQJg+PDh5QZXjBkzhpycHMaPH8/Bgwf56aefeOONN3jqqaesGpcQ9ujNn/dzOPMivg2ceP1uWV1ClOfsqOODoZHodRpW7Unn662n1A5JiHrlhiYorsiSJUuu2Uej0XDvvfeWe2ztqVKGDh3Ku+++y6RJk4iMjCQlJYVVq1ZZBlSkpqaSlpZm6R8SEsIvv/zCli1b6NChA+PGjWP8+PG88MILVo1LCHuz7tBZFm44DsA7gztU+zKbsE/tgj2I79MSgCk/7OFEdr7KEQlRf1S6sLuabdu2WX5+/vnnq7u7Khs7diwnTpyguLiYTZs2ER0dbXluzZo1LFy4sFz/mJgYNm7cSFFREUeOHOHFF1+UqU6EuIbzBSU88/UOAB7q1oReLf1UjkjUZo/d0pSuYV4UlJiYsCyFUpNZ7ZCEqBeqPSrWaDSSnJxM586dOXfu3FX7XW0evMvz36k1D54Q4voUReH/vt1NRm4xTX1defGO1mqHJGo5nVbD+0Mj6ffBWrannmfW6iOMjw1XOywh7F6lC7tp06aVu0/tsnfeeYdZs2Yxe/Zs7rjjjqtuX1vnwRNCXN+KlNP8tCsNB62GD4ZG4uwoZ7fF9QV7OvPaoHaMX5rCh78f4uYWPnRq3FDtsISwa5W+FLt8+XIAevToUa5dr9czYcIEPv30U+65554bDmDx4sWWnz/66KMb3l4IYVunzxcyaUXZ6hLjbgunQyNPdQMSdcrAyGDuigi6NKF1CvnFpWqHJIRdq3RhFxUVxe23305qairffPMNBw8eRFGsM/nk6NGjGTFiBC1btrTK/oQQ1mE2K/znqxTyikvp2NiTJ3s1UzskUQe9OrAdQR4GTmQX8OqPe9UORwi7VunC7pNPPuGtt97CbDaTlJTEuHHjaN68OVFRUYwcObLKARiNRjQaDSaTCYPBUOX9CCGs79M/j7LxaA4ujjrevy8SB121x1uJesjDRc9790Wi0cDSLSf5ZU+62iEJYbduaPBEhw4dSEhIoHXrv26czs7OZteuXVUOwGAwMHfuXBRF4YMPPrjqXHhCiJq1Ly2Xd385CMDLd7Yh1MdV5YhEXRbTzJvHbmnKJ38c5YX/7aRjiCd+7vLHvBDWdsOjYv9e1AF4e3vTq1evKgfQsWNH3nzzTVXXVRNClFdYYmLcku2UmMzEtvbj/i4haock7EB8nxasO5jF3rRcnl2+k4WjusgE10JYmerXVaZNm0Z6ejoDBgygqKhI7XCEEMDrK/dy6NLqEm/d20H+8xVW4eSgY8b9kTg5aPnj4Fn+m3RC7ZCEsDtVLuzS061zj0RgYCB6vZ6mTZtiNBqtsk8hRNX9siedLzamAvDekAi83a5cJ1mIqgr3b8DE21sB8MbKfRzKyFM5IiHsS5ULu759+1olgAceeIDHHnuMKVOmXDGVihCiZqVfKOL5/+0EylYOuKWFr8oRCXs0onsot7TwpbjUzPilKZSUyqoUQlhLlQs7a0110q5dO8LDw/nggw+4++67rbJPIcSNuzzP2PkCI+2C3Xmmr0w/JGxDo9Hw7uAONHTRszctl/cSDqgdkhB2o8pLilnrnpsxY8ZQUFCAVqtFo9Ewf/58q+xXCHFjPll7hKSj2TjrdXx4f0ccHVS/BVfYMT93A9Pu6cATXyQzd+1RerXwI6aZt9phCVHnVXut2Ory9PRk9uzZaochRL2WcvI8038tm9pk6l1taerrpnJEoj7o1y6AoVEhLNt6kv98lcLPE27Bw1mvdlhC1Gmq/0nu4eHBoEGDGD58OMOHD1c7HCHqnYvFpYxbsp1Ss0L/DoEMiWqkdkiiHpk0oA1NvF04c6GISd/tVjscIeq8Kp+x0+msswj44cOHWb58OQ4Oqp88FKJemrRiN6k5BQR7OvPG3e1lahNRo1ydHHh/aCRD5iTxXcoZbm3lx8DIYLXDEqLOqvIZu+3bt1slAEVR+PHHH/n999/5/fffrbJPIUTlfLv9FN9sP41WAzPuj5TLYEIVnRo35N+3NgfgpW93czJHJqwXoqoqXdhNmzatWgcymysezn7LLbdw4cIFTp48yalTp6p1DCFE5R3OvMj/fVt26WvcbeFEhXqpHJGoz8b2bk6nxp7kFZcydvE2mQJFiCqqdGG3fPlygCrPNffMM8/wzDPPWB4//PDDTJkyBU9PT+69915GjBgh99gJUUMKS0w89eU2CkpMxDT15t+3hqsdkqjnHHRaPhzWEQ9nPTtOXWDaz/vUDkmIOqnShV1UVBS33347qampfPPNNxw8ePCG5rJLSEjg9ddftzzeuHEj3t7efPHFF7zxxhs3FrUQolqmfL+HAxl5+Lg5MWNYJDqt3Fcn1NeooQvvDYkAYMH646zabZ0VjoSoTypd2H3yySe89dZbmM1mkpKSGDduHM2bNycqKoqRI0ded3snJyecnP5amqhDhw78+9//ZsmSJaxZs6YqsQshqmBFyhmWbT2JRgMf3h+JXwOD2iEJYRHbxp/RN4cB8OzyHZw8J/fbCXEjbmjwRIcOHUhISOCdd95h1apVHDlyhF9++aXShV1GRobl8dKlSwFwcHCgpKTkxqKuwKxZswgNDcVgMBAdHc3mzZsrtd3SpUvRaDQMGjSo2jEIUdulF8Ck7/cCMP62cLo391E5IiGu9Fy/VnRs7EleUSkTlu1EbrcTovJueFRs69atyz329vamV69e193u2Wef5e677+bkyZPl2rOysiguLr7RMMpZtmwZ8fHxTJ48mW3bthEREUFcXByZmZnX3O748eM888wz3HzzzdU6vhB1QWGJiYUHdRQazXRvJvfVidpLr9My84FOeDjr2Xk6l+9PqD7lqhB1RqV/W/r06cOnn37K2bNny7VfvjT75JNPsnDhwqtuP2jQIJ544gmioqK4++67efnll5k0aRI9evTgP//5T5VfAMD06dMZPXo0o0aNok2bNsyZMwcXF5drLk9mMpl48MEHmTp1Kk2bNq3W8YWo7RRFYcqP+0gr1ODj5sgH98t9daJ2C/Z0ttxv90e6lp/lfjshKqXShd2KFSvIz8/nzjvvJCwsjE6dOtG6dWuaNWvGJ598wogRI657SXb48OEcPHiQIUOGoCgKTk5OfPHFF5W6lHs1JSUlJCcnExsba2nTarXExsaSlJR01e1eeeUV/Pz8eOSRR6p8bCHqii83pfLN9jNoUJg+pL3cVyfqhNg2/jzaIxSAid/u4XBmnroBCVEHVHq5B2dnZ8aPH8/48eMpKSkhOzsbg8FAw4YNb+iAHh4ePPDAAzcc6NVkZWVhMpnw9/cv1+7v78/+/fsr3ObPP//ks88+IyUlpVLHKC4uLne5ODc3FwCj0YjRaKxa4KJCl/MpebWe7SfPM/WHPQAMaGwmKsRd8mtl8r61nXG9mvDHzqMcyoXH/ruV5Y93o4FBViqyBnnf2o6aOa30b8ezzz6LRqPh3XffxdHRkf/7v/+jcePGdOzYkdtuuw03t2svGt67d+9rLlWkKAoajYaRI0fadD67vLw8HnroIebNm4ePT+VuHJ82bRpTp069on316tW4uLhYO0RB2fQ4ovpyS+DdnTqMJg0RXmZuDVIktzYkubWNES3g3Z0ajmYVMOLj33i4pRm5k8B65H1rfQUF6o3m1iiVnIyuQ4cObNmyxTJlSZs2bRgzZgxr164lPDz8qnPR6XQ6TCaT9SL+h5KSElxcXFi+fHm5ka0jRozg/PnzfPfdd+X6p6Sk0LFjx3Jr3V5eFUOr1XLgwAGaNWtWbpuKztiFhISQlpaGt7e3DV5V/WU0GklISKBPnz7o9bK8VXUYTWZGLExmy/FzNPVxZdkjndiwdrXk1gbkfWs7l3Pr17orwxdtx2hS+E9sc57oKfdGV5e8b20nOzubwMBALly4gLu7e40eu9Jn7K42D92YMWO45ZZbbBJcZTg6OtK5c2cSExMthZ3ZbCYxMZGxY8de0b9Vq1bs2rWrXNtLL71EXl4eM2bMICQk5Ipt/vnaL9Pr9fLLYCOS2+p785e9bDl+DjcnB+YOj8LTrew9LLm1Hcmt7USF+TD1rna8+O0u3k88TERjL25p4at2WHZB3rfWp2Y+K13YOTo6kpGRYbmXzdrz0FVHfHw8I0aMICoqiq5du/LBBx+Qn5/PqFGjgLJBG8HBwUybNg2DwUC7du3Kbe/p6QlwRbsQddX3O87w2Z/HAHh3SATN/dzkPhpR5w3rGsKOk+dZtvUk45Zu54exPQjxktthhPi7So+KteU8dNU1dOhQ3n33XSZNmkRkZCQpKSmsWrXKUoSmpqaSlpamaoxC1JRdpy7w3PIdAIzp1Yx+7QJUjkgI69BoNEwd2JYOjTw4X2Bk9H+3kl9cqnZYQtQqlT5jN2jQIHJzc4mKiqJ79+60a9cOjUbDV199xQsvvGDLGCtl7NixFV56Ba67ZNm15t8Toi7JyC3i0f9uochopmcLX57p21LtkISwKoNex+x/dWbgzPXsT89jwrIUPvlXZ7QymkII4AZXnrDFPHRCCOsoMpp47L9bycgtprmfGx890FEmIRZ2KdjTmU8e6oyjTkvC3gze+fWA2iEJUWvc8GRA1p6HTghRfYqi8Ozynew4dQFPFz2fjYjC3SA3Qwv71blJQ94a3J6nl+1g9pojhPu5cU+nRmqHJYTqKl3Y1ZZ56IQQV/ro98P8sOMMDloNsx/sTBNvV7VDEsLm7u7YiEMZF/l4zRFe+N8umni70rnJjU2aL4S9qXRht3r16iodoJLT5AkhqujnXWlMTzgIwKuD2hHTTOZWFPXHM31bcjjzIr/uzeDxz7fy3dgeBHs6qx2WEKq5oXvsquLy5L9CCOvbnnqOp79KAWDUTaEM69pY3YCEqGFarYb3h0bSOtCdrIslPLJwC7lFMrWPqL9sXtgJIWzj6NmLPLJoK0VGM71a+vJ/d7RWOyQhVOHq5MCnI6LwbeDE/vQ8Hv9vMsWltlvxSIjaTAo7Ieqgs3nFjFiwmZz8Ejo08mDWA51w0Mmvs6i/gj2dWTiqC25ODiQdzeaZr3diNsutQKL+kf8JhKhj8otLeXjhFk7mFNLYy4X5I7vg6nTDA9yFsDttgzyY/a9OOGg1/LDjDG+u2q92SELUOCnshKhDjCYzT365jV2nL+Dl6siih7vi43blOsZC1Fc3h/vy9uAOAMxde9SytJ4Q9YUUdkLUEYqiMPGbXfxx8CzOeh3zR3YhzEemNRHin+7p1Ijn+7UC4LWf9vLjzjMqRyREzZHCTog6QFEU3li5j+XJp9BqYOYDHYkM8VQ7LCFqrSd6NmV4TBMUBeKX7WDNgUy1QxKiRkhhJ0Qd8P5vh5i3ruyS0rR72nNba3+VIxKidtNoNEwe0Jb+7QMpMZl5/PNkko5kqx2WEDYnhZ0QtdzsNUf4MPEQAFMGtGFoF5mrTojK0F2a4+7WVn4Ul5p5ZNEWkk+cUzssIWxKCjsharGF64/x1qWRfc/3a8XIm8JUjkiIusXRQcvHD3aiR3MfCkpMjFywmd2nL6gdlhA2I4WdELXUsi2pTPlhLwDjbm3OmF7NVI5IiLrJoNcxd3hnuoQ2JK+olIc+28TBjDy1wxLCJqSwE6IW+mbbKV74ZhcAo28O4+k+LVSOSIi6zcXRgfkjuxDRyINzBUYe/HQThzOluBP2Rwo7IWqZxZtS+c/XO1AU+Fe3xrx4R2s0Go3aYQlR5zUw6Fn0cFdaBTTgbF4xQz/ZyN4zuWqHJYRVSWEnRC3y2Z/HePHbXSgKjOweyit3tZOiTggr8nRxZMnobrQLdic7v4T75yaRcvK82mEJYTVS2AlRS8z8/RCv/lh2T90TPZsxeUAbtFop6oSwtoaujnz5aDc6NfYkt6iUf326ic3HctQOSwirkMJOCJUpisLbq/bz7q8HAYjv04Ln+7WUM3VC2JCHs57PH4kmpqk3F4tLGT5/E+sOnVU7LCGqzW4Ku1mzZhEaGorBYCA6OprNmzdfte+8efO4+eabadiwIQ0bNiQ2Nvaa/YWwFZNZYcr3e/h4zREAXurfmnG3hUtRJ0QNcHVyYMGoLvRu6UuR0cwjC7eyanea2mEJUS12UdgtW7aM+Ph4Jk+ezLZt24iIiCAuLo7MzIqXkFmzZg3Dhg1j9erVJCUlERISQt++fTl9+nQNRy7qsyKjibGLt7Eo6QQArw5qx6M3N1U5KiHqF4NexycPRdGvbQAlJjNjvtzGZ38eUzssIarMLgq76dOnM3r0aEaNGkWbNm2YM2cOLi4uzJ8/v8L+X375JU8++SSRkZG0atWKTz/9FLPZTGJiYg1HLuqr8wUlPPTZJn7enY6jTstHwzryULcmaoclRL3k6KBl1oOdeKhb2dqyr/64l6k/7MFkVtQOTYgbVucLu5KSEpKTk4mNjbW0abVaYmNjSUpKqtQ+CgoKMBqNeHl52SpMISxSswsYPCeJLcfP0cDgwKKHuzIgIkjtsISo13RaDa8MbMvE21sBsGD9cZ78MpnCEpPKkQlxYxzUDqC6srKyMJlM+PuXXxTd39+f/fv3V2ofzz//PEFBQeWKw78rLi6muLjY8jg3t2zeI6PRiNForGLkoiKX82mved10LId/L93BuQIj/u5OzB/eiRb+DWrk9dp7btUkubWdms7tw90b49/AkWf/t4tf9mRw/9wkPnkwEm83pxo5fk2S963tqJnTOl/YVdebb77J0qVLWbNmDQaDocI+06ZNY+rUqVe0r169GhcXF1uHWC8lJCSoHYLVJWVo+OqYFrOiIcRV4dHm+RxOXsfhGo7DHnNbW0hubacmc6sBxrSCT/fr2HHqAnd8sIZHWppo5FpjIdQoed9aX0FBgWrHrvOFnY+PDzqdjoyMjHLtGRkZBAQEXHPbd999lzfffJPffvuNDh06XLXfxIkTiY+PtzzOzc0lJCSE3r174+3tXb0XIMoxGo0kJCTQp08f9Hq92uFYRUmpmbd+OcjSo6kA3NHOnzfvboezo65G47DH3NYWklvbUTO3d5zN5/EvtnMip4CP9jnyxqC2DOgQWKMx2JK8b20nOztbtWPX+cLO0dGRzp07k5iYyKBBgwAsAyHGjh171e3efvttXn/9dX755ReioqKueQwnJyecnK48Da/X6+WXwUbsJbfpF4p4avE2kk+cA+Dp2BaMu625qtOZ2EtuayPJre2okdtWQZ58P7YH45Zu54+DZ4n/ehf70i/yXL9W6HV1/hZ1C3nfWp+a+bSLd2Z8fDzz5s1j0aJF7Nu3jzFjxpCfn8+oUaMAGD58OBMnTrT0f+utt3j55ZeZP38+oaGhpKenk56ezsWLF9V6CcIObTiSxZ0frSP5RNkgiXnDoxgfK3PUCVGXeLjomT+yC2N6NQNg3rpjDJu7kTPnC1WOTIiK1fkzdgBDhw7l7NmzTJo0ifT0dCIjI1m1apVlQEVqaipa7V817OzZsykpKWHw4MHl9jN58mSmTJlSk6ELO1RqMvPh74eZ+fshzAq0CmjAnH91JtTHTm/QEcLO6bQanu/Xig7BHjy3fCdbT5yj/4frmH5fJL1b+akdnhDl2EVhBzB27NirXnpds2ZNucfHjx+3fUCiXjp1roAJS1PYeunS6+DOjXh1YM3fTyeEsL7b2wfSJsidpxZvY/fpXEYt3MIjPcJ4Nq4lBr38jovawS4uxQqhNkVR+C7lNLfPWMfWE+dwc3Jgxv2RvDskQoo6IexIE29X/jemOyNiyiYU/+zPY9w180/2nLmgcmRClJHCTohqOptXzBNfJDN+aQp5RaVEhniyctzNDIwMVjs0IYQNODnomDqwHZ+NiMLHzZGDGRcZNGs9H685TKnJrHZ4op6Twk6IKlIUhe93nKHv+3/wy54MHLQano5twddPxNDYW+Y3FMLe3dban18m3ELfNv4YTQpvrzrAwFnr2X1azt4J9UhhJ0QVnMjOZ8SCLYxbsp1zBUbaBLrz/dgejI8Nt6tpEIQQ1+bt5sQnD3Xm3SEReDjr2XMml4Gz1vPmz/tlOTKhCrsZPCFETSguNTH3j6PMXH2Y4lIzjjotY29tzphezaSgE6Ke0mg0DO7ciFta+DD1+738tCuNOX8c4YcdZ5h4Ryv6tw+UaY5EjZHCTohKUBSFH3em8fYv+zmZUzZ/VY/mPrw6qB1hMo2JEALwa2Bg1oOdGLgnnSnf7+H0+ULGLt7O52EnmDygLW2C3NUOUdQDUtgJcR1bj+fw2k/7SDl5HgC/Bk78X//W3BURJH+FCyGu0LdtADeH+zJ37VFm/3GYTcdyuPOjddzftTH/6dMCb7crVzISwlqksBPiKo6evcg7vxzg593pALg46nj8lmaMviUMF0f51RFCXJ2zo47xseEMjmrEtJX7+HFnGos3pbJi+2lG3RTK6Jub4uniqHaYwg7J/05C/MOhjDxmrj7MDzvOYFZAq4GhXUJ4OrYFfu4GtcMTQtQhwZ7OzHygE8Njcnjtp73sPHWBWauPsGjDCR7uEcYjPcLwcJZ1WoX1SGEnxCV7zlxg5u+HWbUnHUUpa7utlR/P9WtFy4AG6gYnhKjTuoZ58d1TN5GwN4P3fzvEvrRcPkw8xIL1x3j4pjCGxzSRS7TCKqSwE/Wa2ayw7nAWC9cfY/WBs5b229sF8FTv5rQL9lAxOiGEPdFoNPRtG0Bsa39+2ZPO+78d5GDGRWYkHmL2H0e4p2MwD/cIo4W//CEpqk4KO1Ev5RYZWb71FJ9vPMGxrHyg7JLrgIggnurdXD5YhRA2o9VquL19IHFtA1i5O415a4+y49QFlm45ydItJ7k53IeHe4RxS7gvOq0M0BI3Rgo7UW8oisK21PP8b9spVmw/TcGlyUMbODkwJCqE4TFNCJWpS4QQNUSr1XBnhyD6tw8k+cQ5Pl13jF/3prPuUBbrDmUR7OnMvZ0bMaRzI0K8ZDUbUTlS2Am7l5pdwLfbT/Pt9lMczy6wtLfwd2N4TCh3dwzG1Ul+FYQQ6tBoNESFehEV6sXJnAIWrD/O/7ad4vT5Qj5MPMSHiYfo3sybIVGN6NMmADf5vBLXIO8OYZdO5hTw694Mft6VxtYT5yztznod/doFMCSqETFNvWUeOiFErRLi5cKkAW14rl9Lft2bwddbT/Ln4Sw2HMlmw5FsnBx2cUsLX+5oH8Btrf1xN8iIWlGeFHbCLiiKwp4zufy6N4Nf96SzPz3P8pxGAzc18+GeTsHEtQ2Qs3NCiFrPoNdxV0QQd0UEcfp8If9LPsW3209zLCufhL0ZJOzNwFGnpUe4D7e19uOWcF+5XCsAKexEHXbmfCF/Hs5i/eEs1h/OJutiseU5raZseoE+bQLo3z6QAA+Zf04IUTcFezoz7rZw/n1rc/an5/HzrjR+2pXGkbP5/L4/k9/3ZwLQ1NeVW8J96dnSl+gwL5lIvZ6Sf3VRJ5jNCkez8tmWeo7tqefYdDSHo5dGs17mrNdxSwsf+rYJ4NZWfjR0lVndhRD2Q6PR0DrQndaB7sT3bcmhjDxW7U7nj4Nn2X7yPEfP5nP0bD4LNxzHQauhbbAHXZo0JCrUiy6hDWWevHpCCjtR6ygKnD5fyMHMbPam5ZJy8jzbU89zodBYrp9WAxEhnvRo7kP3Zj50auKJk4NOpaiFEKJmhfs3INy/Af++LZwLhUY2HM5i7aGzrD2Yxenzhew4eZ4dJ8/z6Z/HAAjzcaVdsAftgtxpH+xBSz+5dGuPpLATqjGbFdJziziWlc/Rsxc5cjafvWcusOukjsKN667o7+SgJaKRJx2beNK5cUO6NfOWG4eFEALwcNZze/tAbm8fCMCpcwVsPX6Ozcdz2Ho8h4MZFzmWlc+xrHx+2HHGsp23k45vs7fRIsCd5r5uNPNzo7mfmyxzVofZTWE3a9Ys3nnnHdLT04mIiOCjjz6ia9euV+3/9ddf8/LLL3P8+HHCw8N56623uOOOO2ow4vohr8hI2oUiTp8vJO18EafPF3A8q4CjWfkcz8qn0GiqYCsNep2G5n4NaB3YgPbBHnRq3JDWge44Omhr/DUIIURd06ihC40aujCoYzAA5/JL2Hn6Arsvfe06fYFT5wrJLtaw5mAWaw5mldvet4ETTX1cCfFyIdjTmUYNnQlu6ExIQxcCPAzodfJZXFvZRWG3bNky4uPjmTNnDtHR0XzwwQfExcVx4MAB/Pz8rui/YcMGhg0bxrRp07jzzjtZvHgxgwYNYtu2bbRr106FV1C3FBlN5OSXkH2xhKz8YrIvlpB9sZic/BKyLpaQdbGYjNyyYi6vqPSa+3LQamjs7UJTH1fCfFxp7utC9uEdjLi7H67Ocj+IEEJYQ0NXR3q28KVnC19L29kLBSz67jd8mrXjeHYhhzMvcjjzIum5RZzNK+ZsXjGbjuVcsS+tBvwaGPBzd8LXzQnfBn99+TVwwtvNCQ9nPZ7Oetyd9Rj0cotMTbKLwm769OmMHj2aUaNGATBnzhx++ukn5s+fzwsvvHBF/xkzZtCvXz+effZZAF599VUSEhKYOXMmc+bMqdHYbclsVigxmSk2mik0mig0mii6/L3ERFGpicIS819tRhMFJSbyiozkFZWSV1RKruXnv9oqPst2dR7OegI9DAR7OhPoaSDUu6yIa+rrRqOGzuX+8jMajaxM2yFn5oQQwsY8XfSEeyjc0TUEvf6vS695RUaOnC27qnL6fCGnzhVw6lwhp88Vcup8ISWlZtJzi0jPLarUcQx67aVCzxEPZz0eLnoaODng4qTD1dEBZ8ey7xU9dtbrcHTQ4qjT4uSgLfv50mMHOWtYoTpf2JWUlJCcnMzEiRMtbVqtltjYWJKSkircJikpifj4+HJtcXFxrFix4oaOPeP3wzi7ZmJWFMwKmBUFRSmbU+3yY7MCoGA2//VYURQU+Md2Zdv+vc/l50pNCkaTmVKzQqnJjNGkUGo2l7Vf/v73NpMZo8l86di2oddp8HZ1wsvVEW83R3zcnPB2dcTLzRFvV0cCPJwJ9jQQ6OEs88YJIUQd0sCgJzLEk8gQzyueM5sVsvKLSTt/6azexWLL2b3MvLK27PwSLhQayS00YlagyGimyFhMRm7xlQerBq0GS5Hn6KCzFH46rQadRlP2/e9fFbVdbteVfXfQatBqNWg1oEGDVgugQaPB0lb2c9nk9pd/1vztZzRQdDHvWqHbVJ3/HzcrKwuTyYS/v3+5dn9/f/bv31/hNunp6RX2T09Pr7B/cXExxcV/vSFzc3MBWLghFa1T3RhV5KDVYNDrMOi1Zd8dtDg76iw/X37OWa+jgcEBNycH3J3L/qpqYHCwtDUwOODhrMfd4FDJVRsUjEbj9btdcrnvjWwjKkdyazuSW9uR3NpOVXPb0KCjYYArBFx7bW2zWeFicSkXioxcKCjl/KVi73yhkfySUgqKy64W5ZeY/vZzKQUlJgpLytoLS0yUmMyUlJopMZlR/nbC4q+i0Qxc+7afmmYuLrh+Jxup84VdTZg2bRpTp069or1HgBkng5lLBfpf3y0/K5cq/DIaDWj/3u+K/hW36TRlX1oN6LR/PdZplPLPXf4q1wcctWVtUMlfXjNQeOkLKAGyL33VlISEhBo8Wv0iubUdya3tSG5tp6Zz63npy8KBSlUjZVe1oFSBUvPVvysKmNCUfVf46ztcuhJW9t+c5ecK2pRLx4O/flYABQ1Yfi77+vtjLu2npMjMkuqnqkrqfGHn4+ODTqcjIyOjXHtGRgYBAQEVbhMQEHBD/SdOnFju0m1ubi4hISFMH9ETb2/var4C8XdGo5GEhAT69OlT7p4PUX2SW9uR3NqO5NZ2JLe2k52dzZIrb/GvEXW+sHN0dKRz584kJiYyaNAgAMxmM4mJiYwdO7bCbWJiYkhMTGTChAmWtoSEBGJiYirs7+TkhJPTlSM09Xq9/DLYiOTWdiS3tiO5tR3Jre1Ibq1PzXzW+cIOID4+nhEjRhAVFUXXrl354IMPyM/Pt4ySHT58OMHBwUybNg2A8ePH07NnT9577z369+/P0qVL2bp1K3PnzlXzZQghhBBCVItdFHZDhw7l7NmzTJo0ifT0dCIjI1m1apVlgERqaipa7V/Dort3787ixYt56aWXePHFFwkPD2fFihUyh50QQggh6jS7KOwAxo4de9VLr2vWrLmibciQIQwZMsTGUQkhhBBC1By7KexqknJpqExeXp7cl2BlRqORgoICcnNzJbdWJrm1Hcmt7UhubUdyazt5eWXz2Cl/n5+lhkhhVwXZ2WUTf4SFhakciRBCCCFqq+zsbDw8/r+9ew+KqvzDAP4sCgtI3C8LJSigaIKKEIgZ4oiXdDKrmSZzNMvxMlnaaKbOWBRjSZLRDF5qNLMyZXRUbBQrRJ1UEINhBRTxMqBpLE5yUccLt+/vD4b9uXGJy57dZXs+M2d0z3nPe877nOPh69k9i4tJt8nCrhvc3d0BNH92z9QHzNq1fJXMn3/+CWdnZ3PvjlVhtsphtsphtsphtsqpra2Fv7+/vl4wJRZ23dDyIIaLiwv/MSjE2dmZ2SqE2SqH2SqH2SqH2Srn8Qc3TbZNk2+RiIiIiBTBwo6IiIjISrCw6wa1Wo2EhIQ2fxsF9QyzVQ6zVQ6zVQ6zVQ6zVY45s1WJOZ7FJSIiIiKj4x07IiIiIivBwo6IiIjISrCwIyIiIrISLOyIiIiIrAQLOwBVVVWYNWsWnJ2d4erqinnz5uHevXsdrvPw4UMsXrwYHh4ecHJywiuvvILKykqDNkuWLEFERATUajVGjhzZqo/y8nKoVKpW05kzZ4w5PLMyV7YAUFhYiOeeew729vbo378/1q9fb6xhWQSlsr1+/TqmTZsGR0dHeHt7Y8WKFWhoaNAvP3HiRJvnrU6nU2ScprJp0yYMGDAA9vb2iI6OxtmzZztsv3fvXgwZMgT29vYICwtDRkaGwXIRwUcffQRfX184ODggPj4ely9fNmjTnWPYG5kj2wEDBrQ6R5OSkow+NnMydq779+/HpEmT4OHhAZVKBa1W26qPzlxDrIE5so2Li2t1zi5atKjrOy8kU6ZMkREjRsiZM2fk5MmTEhwcLDNnzuxwnUWLFkn//v0lKytL8vLyZPTo0TJmzBiDNu+++65s3LhRZs+eLSNGjGjVR1lZmQCQo0ePSkVFhX6qq6sz5vDMylzZ1tbWio+Pj8yaNUuKi4tl9+7d4uDgIN98840xh2dWSmTb0NAgoaGhEh8fLwUFBZKRkSGenp6yevVqfZvjx48LACktLTU4bxsbGxUbq9LS0tLEzs5Otm/fLufPn5f58+eLq6urVFZWttn+9OnT0qdPH1m/fr1cuHBB1qxZI7a2tlJUVKRvk5SUJC4uLpKeni7nzp2T6dOny8CBA+XBgwf6Nt05hr2NubINCAiQxMREg3P03r17io/XVJTI9YcffpBPPvlEtm7dKgCkoKCgVT+duT73dubKdty4cTJ//nyDc7a2trbL+/+fL+wuXLggAOSPP/7Qzzty5IioVCq5efNmm+vU1NSIra2t7N27Vz+vpKREAEhOTk6r9gkJCR0Wdm0dYGtgzmw3b94sbm5u8ujRI/28lStXSkhISA9GZDmUyjYjI0NsbGxEp9Pp22zZskWcnZ31WbYUdtXV1QqMzDyioqJk8eLF+teNjY3i5+cn69ata7P9q6++KtOmTTOYFx0dLQsXLhQRkaamJtFoNJKcnKxfXlNTI2q1Wnbv3i0i3TuGvZE5shVpLuxSUlKMOBLLYuxcH9fez6auXp97K3NkK9Jc2C1durRH+y4i8p9/KzYnJweurq6IjIzUz4uPj4eNjQ1yc3PbXCc/Px/19fWIj4/XzxsyZAj8/f2Rk5PT5X2YPn06vL29MXbsWPz8889dH4SFMme2OTk5iI2NhZ2dnX7e5MmTUVpaiurq6m6MxrIolW1OTg7CwsLg4+OjbzN58mTcuXMH58+fN+hv5MiR8PX1xcSJE3H69GljDs+k6urqkJ+fb5CLjY0N4uPj2z3ncnJyDNoDzTm1tC8rK4NOpzNo4+LigujoaIOsu3oMextzZdsiKSkJHh4eCA8PR3JyssFHCnozJXLtDGP/7LNE5sq2xU8//QRPT0+EhoZi9erVuH//fpf76NvlNayMTqeDt7e3wby+ffvC3d293c8M6XQ62NnZwdXV1WC+j49Plz5n5OTkhA0bNuDZZ5+FjY0N9u3bhxkzZiA9PR3Tp0/v8lgsjTmz1el0GDhwYKs+Wpa5ubl1ui9LpFS2Op3OoKhrWd6yDAB8fX3x9ddfIzIyEo8ePcK2bdsQFxeH3NxcjBo1yhjDM6m///4bjY2NbY774sWLba7TXk6P59gyr6M2XT2GvY25sgWaP4c7atQouLu7Izs7G6tXr0ZFRQW+/PLLHo/L3JTItTOMdX22ZObKFgBef/11BAQEwM/PD4WFhVi5ciVKS0uxf//+LvVjtYXdqlWr8Pnnn3fYpqSkxER70zZPT08sW7ZM//qZZ57BX3/9heTkZIsu7HpDtr1Vb8g2JCQEISEh+tdjxozB1atXkZKSgh9//NGMe0b0f49fW4cPHw47OzssXLgQ69at46/QIou0YMEC/d/DwsLg6+uLCRMm4OrVqwgKCup0P1Zb2C1fvhxz587tsE1gYCA0Gg1u3bplML+hoQFVVVXQaDRtrqfRaFBXV4eamhqD/7lUVla2u05nRUdHIzMzs0d9KK03ZKvRaFo9qdXyuqfHSEnmzlaj0bR6+qszuUVFReHUqVMd7rel8vT0RJ8+fdo8XzrKsqP2LX9WVlbC19fXoE3LU9zdOYa9jbmybUt0dDQaGhpQXl5u8B+T3kiJXDtDyZ99lsJc2bYlOjoaAHDlypUuFXZW+xk7Ly8vDBkypMPJzs4OMTExqKmpQX5+vn7dY8eOoampSR/qP0VERMDW1hZZWVn6eaWlpbh+/TpiYmJ6tN9ardbgYmWJekO2MTEx+P3331FfX6+fl5mZiZCQEIt+G9bc2cbExKCoqMig4MjMzISzszOefvrpdve7N5y37bGzs0NERIRBLk1NTcjKymr3nIuJiTFoDzTn1NJ+4MCB0Gg0Bm3u3LmD3Nxcg6y7egx7G3Nl2xatVgsbG5tWb3/3Rkrk2hlK/uyzFObKti0tX4nS5Wtrjx+/sAJTpkyR8PBwyc3NlVOnTsmgQYMMvnLgxo0bEhISIrm5ufp5ixYtEn9/fzl27Jjk5eVJTEyMxMTEGPR7+fJlKSgokIULF8rgwYOloKBACgoK9E8X7tixQ3bt2iUlJSVSUlIin376qdjY2Mj27dtNM3ATMFe2NTU14uPjI7Nnz5bi4mJJS0sTR0dHq/u6E2Nn2/J1J5MmTRKtViu//PKLeHl5GXzdSUpKiqSnp8vly5elqKhIli5dKjY2NnL06FHTDFwBaWlpolarZceOHXLhwgVZsGCBuLq66p8Onj17tqxatUrf/vTp09K3b1/54osvpKSkRBISEtr8Sg5XV1c5ePCgFBYWyosvvtjm1510dAytgTmyzc7OlpSUFNFqtXL16lXZuXOneHl5yZw5c0w7eAUpkevt27eloKBADh8+LAAkLS1NCgoKpKKiQt+mM9fn3s4c2V65ckUSExMlLy9PysrK5ODBgxIYGCixsbFd3n8WdtIc+MyZM8XJyUmcnZ3lzTfflLt37+qXtzyefPz4cf28Bw8eyNtvvy1ubm7i6OgoL730ksHJL9L86DKAVlNZWZmINBd2Q4cOFUdHR3F2dpaoqCiDx8itgbmyFRE5d+6cjB07VtRqtTz55JOSlJSk9HBNSqlsy8vL5fnnnxcHBwfx9PSU5cuXS319vX75559/LkFBQWJvby/u7u4SFxcnx44dU3y8SktNTRV/f3+xs7OTqKgoOXPmjH7ZuHHj5I033jBov2fPHhk8eLDY2dnJsGHD5PDhwwbLm5qa5MMPPxQfHx9Rq9UyYcIEKS0tNWjzb8fQWpg62/z8fImOjhYXFxext7eXoUOHymeffSYPHz5UdJymZuxcv/vuuzavqwkJCfo2nbmGWANTZ3v9+nWJjY0Vd3d3UavVEhwcLCtWrOjW99ipRES6fZ+QiIiIiCyG1X7GjoiIiOi/hoUdERERkZVgYUdERERkJVjYEREREVkJFnZEREREVoKFHREREZGVYGFHREREZCVY2BERERFZCRZ2RERERFaChR0RWbTU1FQEBASgb9++eP/9983WZ1xcHN577z2jbP/27dvw9vZGeXm5UfrrrNdeew0bNmww6TaJyLT4K8WIyGKdO3cOkZGROHjwIMLDw+Hi4gJHR0ez9FlVVQVbW1s88cQTPdo+ACxbtgx3797F1q1boVKpOmybkJCA8vJy1NTUID093WDZiRMnMH78eFRXV8PV1fVft1tcXIzY2FiUlZXBxcWlByMgIkvFO3ZEZLEOHTqEqKgoTJ06Fb6+vj0u6nrSp7u7u1GKuvv37+Pbb7/FvHnzAAAVFRX66auvvoKzs7PBPGPdpQSA0NBQBAUFYefOnUbrk4gsCws7IrJIwcHBWLNmDbKzs6FSqTBnzhyz9vnPt2Lj4uKwZMkSfPDBB3B3d4dGo8HHH3/8r/1kZGRArVZj9OjRAACNRqOfXFxcoFKpDOY5OTl1eh/Ly8uhUqlaTXFxcfo2L7zwAtLS0jrdJxH1LizsiMgiZWdnIzAwEMnJyaioqMDmzZstrs/vv/8e/fr1Q25uLtavX4/ExERkZmZ2uM7JkycRERHRo+22p3///gZ3+woKCuDh4YHY2Fh9m6ioKJw9exaPHj1SZB+IyLz6mnsHiIja4uTkhPLycowdOxYajcYi+xw+fDgSEhIAAIMGDcLGjRuRlZWFiRMntrvOtWvX4Ofn1+VtHTp0qNXdu8bGRoPXffr00Y/r4cOHmDFjBmJiYgzuJPr5+aGurg46nQ4BAQFd3g8ismy8Y0dEFqmwsBAAEBYW1mrZqlWr2nzL8fHp4sWLXeqzO4YPH27w2tfXF7du3epwnQcPHsDe3r7L2xo/fjy0Wq3BtG3btnbbv/XWW7h79y527doFG5v/X+odHBwANH/Wj4isD+/YEZFF0mq1CA4ORr9+/VotW758OebOndvh+oGBgZ3q89q1a3jnnXdw48YN1NfXIyMjA/7+/p3aR1tbW4PXKpUKTU1NHa7j6emJ6urqTvX/uH79+iE4ONhg3o0bN9psu3btWvz66684e/Zsqwc+qqqqAABeXl5d3gcisnws7IjIImm1WowYMaLNZV5eXt0qTP7ZZ11dHaZOnYpNmzYhLi4O1dXVXXpYoTvCw8MVfSp13759SExMxJEjRxAUFNRqeXFxMZ566il4enoqtg9EZD58K5aILJJWq8XIkSMV7fPAgQMYPXq0/qlRNze3VnfhjG3y5Mk4f/58t+7a/Zvi4mLMmTMHK1euxLBhw6DT6aDT6fR36YDmhzcmTZpk9G0TkWVgYUdEFqepqQlFRUXt3rEzVp9FRUWIiooy2jY6IywsDKNGjcKePXuM3ndeXh7u37+PtWvXwtfXVz+9/PLLAJofqEhPT8f8+fONvm0isgz8zRNE9J+VmpqKS5cuITU1FY2NjaitrYW7u7vi2z18+DBWrFiB4uJigwcblLZlyxYcOHAAv/32m8m2SUSmxTt2RPSfNXfuXFy9ehWhoaGIjIzEpUuXTLLdadOmYcGCBbh586ZJttfC1tYWqampJt0mEZkW79gRERERWQnesSMiIiKyEizsiIiIiKwECzsiIiIiK8HCjoiIiMhKsLAjIiIishIs7IiIiIisBAs7IiIiIivBwo6IiIjISrCwIyIiIrISLOyIiIiIrAQLOyIiIiIrwcKOiIiIyEr8D62HGI0AClLdAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(2, 1)\n",
    "\n",
    "ax1.plot(t.numpy().flatten(), np.abs(g_0.numpy().flatten())**2, '-')\n",
    "ax1.set_xlim(-150, 150)\n",
    "ax1.set_xlabel(r\"$t$ in (ps)\")\n",
    "ax1.set_ylabel(r\"$|g(t)|^2$ in (W)\")\n",
    "ax1.grid()\n",
    "\n",
    "ax2.plot(\n",
    "    f.numpy().flatten(),\n",
    "    (G_0.numpy().flatten())/np.max(G_0.numpy().flatten()),\n",
    "    '-')\n",
    "ax2.set_xlim(-0.015, 0.015)\n",
    "ax2.set_xlabel(r\"$f-f_c$ in (THz)\")\n",
    "ax2.set_ylabel(r\"$\\frac{|G(f-f_c)|^2}{|G_\\mathrm{max}|^2}$\")\n",
    "ax2.grid()\n",
    "\n",
    "ax1.legend(['transmitted'])\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Attenuation\n",
    "\n",
    "Attenuation is present in all media including optical fibers. A typical value\n",
    "of $\\alpha=0.046\\,\\mathrm{km}^{-1}$ is used in this notebook.\n",
    "To compensate for this, Erbium doped fiber amplifiers (EDFAs) are required, as shown in\n",
    "the figure at the beginning of this notebook."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## Amplified Spontaneous Emission Noise\n",
    "\n",
    "An optical channel model contains several sources of noise, e.g., amplified spontaneous\n",
    "emission (ASE) and Rayleigh scattering. However, for this experiment, only ASE\n",
    "noise is implemented. It was shown in [1] that this is the most dominant source of noise.\n",
    "\n",
    "As we assume a discrete lumped amplification, ASE noise is introduced only due to the amplification by\n",
    "the EDFAs. The noise power is given as\n",
    "\n",
    "$$P_\\mathrm{ASE}=\\rho_\\mathrm{ASE}\\cdot f_\\text{sim}=\\frac{1}{2}G F h f_\\text{c}\\cdot f_\\mathrm{sim}$$\n",
    "\n",
    "and, hence, depends on the gain $G$, the (linear) noise figure $F$, the carrier frequency $f_\\text{c}$,\n",
    "and the simulation bandwidth $f_\\mathrm{sim}$. The intermediate quantitiy $\\rho_\\mathrm{ASE}$ denotes the noise\n",
    "spectral density of the EDFAs and $h$ is Planck's constant. Usually, not the simulation bandwidth but the captured\n",
    "bandwidth $W$ of the receiver is used. Here, for demonstration purpose, our receiver has an infinite\n",
    "bandwidth that is only limited by the simulation $W=f_\\mathrm{sim}$.\n",
    "\n",
    "**Note** that Sionna also provides ideally distributed Raman amplification, where the noise is introduced in\n",
    "a fiber span. This can be enabled by setting `with_amplification` to `True` when instantiating the `SSFM` layer."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Channel Configuration"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The fiber (i.e., *SSFM*) is implemented using normalized units for distance and time.\n",
    "Hence, it is required that the units of the same kind (time, distance, power) for all\n",
    "parameters ($\\alpha$, $\\beta_2$, ...) have to be given with the same unit prefix,\n",
    "e.g., for time use always $\\mathrm{ps}$. This does not only simplify the usage of the SSFM but also prevents from dealing with different\n",
    "orders of magnitude within the SSFM.\n",
    "\n",
    "For our first experiment only ASE noise is considered and, thus, nonlinearity and chromatic dispersion (CD) are disabled.\n",
    "Attenuation is kept enabled such that the amplifiers are required and introduce the noise.\n",
    "The gain is chosen such that the link becomes transparent (input power equals output power)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2025-03-11T00:47:59.074301Z",
     "iopub.status.busy": "2025-03-11T00:47:59.074085Z",
     "iopub.status.idle": "2025-03-11T00:47:59.150611Z",
     "shell.execute_reply": "2025-03-11T00:47:59.149569Z"
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "# Normalization\n",
    "t_norm = 1e-12  # (s) -> (ps) Time normalization\n",
    "z_norm = 1e3  # (m) -> (km) Distance normalization\n",
    "\n",
    "# Fiber parameters\n",
    "f_c = 193.55e12  # (Hz) Abs. Carrier frequency\n",
    "length_sp = 80.0  # (km) Norm. fiber span length\n",
    "alpha = 0.046  # (1/km) Norm. fiber attenuation\n",
    "\n",
    "# EDFA parameters\n",
    "g_edfa = tf.exp(alpha * length_sp)\n",
    "f_edfa = 10**(5/10)  # (1) Noise figure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2025-03-11T00:47:59.154705Z",
     "iopub.status.busy": "2025-03-11T00:47:59.154361Z",
     "iopub.status.idle": "2025-03-11T00:47:59.177912Z",
     "shell.execute_reply": "2025-03-11T00:47:59.177110Z"
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "span = sionna.phy.channel.optical.SSFM(\n",
    "            alpha=alpha,\n",
    "            f_c=f_c,\n",
    "            length=length_sp,\n",
    "            sample_duration=dt,\n",
    "            with_amplification=False,\n",
    "            with_attenuation=True,\n",
    "            with_dispersion=False,\n",
    "            with_nonlinearity=False,\n",
    "            t_norm=t_norm)\n",
    "\n",
    "amplifier = sionna.phy.channel.optical.EDFA(\n",
    "             g=g_edfa,\n",
    "             f=f_edfa,\n",
    "             f_c=f_c,\n",
    "             dt=dt * t_norm  # t_norm is in absolute (not normalized) units\n",
    "            )\n",
    "\n",
    "def lumped_amplification_channel(inputs):\n",
    "    (u_0) = inputs\n",
    "\n",
    "    u = u_0\n",
    "    for _ in range(n_span):\n",
    "        u = span(u)\n",
    "        u = amplifier(u)\n",
    "\n",
    "    return u"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "### Transmission\n",
    "\n",
    "Next, the impulse is transmitted over the channel and the output is visualized."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2025-03-11T00:47:59.182020Z",
     "iopub.status.busy": "2025-03-11T00:47:59.181705Z",
     "iopub.status.idle": "2025-03-11T00:47:59.445063Z",
     "shell.execute_reply": "2025-03-11T00:47:59.444190Z"
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "x = g_0\n",
    "y = lumped_amplification_channel(x)\n",
    "\n",
    "X = tf.signal.fftshift(\n",
    "    tf.abs(\n",
    "        tf.cast(dt, config.tf_cdtype) *\n",
    "        tf.signal.fft(x) /\n",
    "        tf.cast(tf.math.sqrt(2 * np.pi), config.tf_cdtype)\n",
    "    ) ** 2\n",
    ")\n",
    "\n",
    "Y = tf.signal.fftshift(\n",
    "    tf.abs(\n",
    "        tf.cast(dt, config.tf_cdtype) *\n",
    "        tf.signal.fft(y) /\n",
    "        tf.cast(tf.math.sqrt(2 * np.pi), config.tf_cdtype)\n",
    "    ) ** 2\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2025-03-11T00:47:59.448852Z",
     "iopub.status.busy": "2025-03-11T00:47:59.448638Z",
     "iopub.status.idle": "2025-03-11T00:47:59.732139Z",
     "shell.execute_reply": "2025-03-11T00:47:59.731314Z"
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(2, 1)\n",
    "\n",
    "ax1.plot(t.numpy().flatten(), np.abs(x.numpy().flatten())**2, '-')\n",
    "ax1.plot(t.numpy().flatten(), np.abs(y.numpy().flatten())**2, '--')\n",
    "ax1.set_xlim(-150, 150)\n",
    "ax1.set_xlabel(r\"$t$ in (ps)\")\n",
    "ax1.set_ylabel(r\"$|g(t)|^2$ in (W)\")\n",
    "ax1.grid()\n",
    "\n",
    "ax2.plot(\n",
    "    f.numpy().flatten(),\n",
    "    (X.numpy().flatten())/np.max(X.numpy().flatten()),\n",
    "    '-')\n",
    "ax2.plot(\n",
    "    f.numpy().flatten(),\n",
    "    (Y.numpy().flatten())/np.max(Y.numpy().flatten()),\n",
    "    '--')\n",
    "ax2.set_xlim(-0.015, 0.015)\n",
    "ax2.set_xlabel(r\"$f-f_c$ in (THz)\")\n",
    "ax2.set_ylabel(r\"$\\frac{|G(f-f_c)|^2}{|G_\\mathrm{max}|^2}$\")\n",
    "ax2.grid()\n",
    "\n",
    "ax1.legend(['transmitted', 'received'])\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "As can be seen, attenuation is completely compensated by the EDFAs. However, they introduce significant noise.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## Chromatic Dispersion\n",
    "\n",
    "After having seen how the noise distorts the original Gaussian impulse, we can now\n",
    "enable the next linear effect, which is chromatic dispersion (CD). Regarding the nonlinear Schrödinger\n",
    "equation that describes the propagation of an optical signal, the impact of CD is parametrized\n",
    "by the group velocity dispersion (GVD) parameter $\\beta_2$, where $\\beta_2=-21.67\\,\\mathrm{ps}^2\\mathrm{km}^{-1}$ is a typical choice.\n",
    "\n",
    "### Channel Configuration\n",
    "\n",
    "Besides the present parameters we now set $\\beta_2$. For a better understanding of\n",
    "CD we disable the noise (`EDFA.f = 0`) from the previous section."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2025-03-11T00:47:59.737008Z",
     "iopub.status.busy": "2025-03-11T00:47:59.736789Z",
     "iopub.status.idle": "2025-03-11T00:47:59.741049Z",
     "shell.execute_reply": "2025-03-11T00:47:59.740226Z"
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "beta_2 = -21.67  # (ps^2/km) Norm. group velocity dispersion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2025-03-11T00:47:59.744781Z",
     "iopub.status.busy": "2025-03-11T00:47:59.744455Z",
     "iopub.status.idle": "2025-03-11T00:47:59.759705Z",
     "shell.execute_reply": "2025-03-11T00:47:59.758968Z"
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "span_cd = sionna.phy.channel.optical.SSFM(\n",
    "            alpha=alpha,\n",
    "            beta_2=beta_2,\n",
    "            f_c=f_c,\n",
    "            length=length_sp,\n",
    "            sample_duration=dt,\n",
    "            with_amplification=False,\n",
    "            with_attenuation=True,\n",
    "            with_dispersion=True,\n",
    "            with_nonlinearity=False,\n",
    "            t_norm=t_norm)\n",
    "\n",
    "amplifier_cd = sionna.phy.channel.optical.EDFA(\n",
    "                                    g=g_edfa,\n",
    "                                    f=0,\n",
    "                                    f_c=f_c,\n",
    "                                    dt=dt * t_norm)\n",
    "\n",
    "\n",
    "def lumped_amplification_channel_cd(inputs):\n",
    "    (u_0) = inputs\n",
    "\n",
    "    u = u_0\n",
    "    for _ in range(n_span):\n",
    "        u = span_cd(u)\n",
    "        u = amplifier_cd(u)\n",
    "\n",
    "    return u"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "### Transmission\n",
    "\n",
    "We now transmit the previously generated Gaussian impulse over the optical fiber and compare the received signal with the transmitted impulse.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2025-03-11T00:47:59.762019Z",
     "iopub.status.busy": "2025-03-11T00:47:59.761801Z",
     "iopub.status.idle": "2025-03-11T00:47:59.998943Z",
     "shell.execute_reply": "2025-03-11T00:47:59.998039Z"
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "x = g_0  # previously generated Gaussian impulse\n",
    "y = lumped_amplification_channel_cd(x)\n",
    "\n",
    "X = tf.signal.fftshift(\n",
    "    tf.abs(\n",
    "        tf.cast(dt, config.tf_cdtype) *\n",
    "        tf.signal.fft(x) /\n",
    "        tf.cast(tf.math.sqrt(2 * np.pi), config.tf_cdtype)\n",
    "    ) ** 2\n",
    ")\n",
    "\n",
    "Y = tf.signal.fftshift(\n",
    "    tf.abs(\n",
    "        tf.cast(dt, config.tf_cdtype) *\n",
    "        tf.signal.fft(y) /\n",
    "        tf.cast(tf.math.sqrt(2 * np.pi), config.tf_cdtype)\n",
    "    ) ** 2\n",
    ")\n",
    "\n",
    "X_angle = tf.math.angle(tf.signal.fftshift(tf.signal.fft(x)))\n",
    "Y_angle = tf.math.angle(tf.signal.fftshift(tf.signal.fft(y)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2025-03-11T00:48:00.002833Z",
     "iopub.status.busy": "2025-03-11T00:48:00.002617Z",
     "iopub.status.idle": "2025-03-11T00:48:00.274797Z",
     "shell.execute_reply": "2025-03-11T00:48:00.273889Z"
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(2, 1)\n",
    "\n",
    "ax1.plot(t.numpy().flatten(), np.abs(x.numpy().flatten())**2, '-')\n",
    "ax1.plot(t.numpy().flatten(), np.abs(y.numpy().flatten())**2, '--')\n",
    "ax1.set_xlim(-250, 250)\n",
    "ax1.set_xlabel(r\"$t$ in (ps)\")\n",
    "ax1.set_ylabel(r\"$|g(t)|^2$ in (W)\")\n",
    "ax1.grid()\n",
    "\n",
    "ax2.plot(\n",
    "    f.numpy().flatten(),\n",
    "    (X.numpy().flatten())/np.max(X.numpy().flatten()),\n",
    "    '-')\n",
    "ax2.plot(\n",
    "    f.numpy().flatten(),\n",
    "    (Y.numpy().flatten())/np.max(Y.numpy().flatten()),\n",
    "    '--')\n",
    "ax2.set_xlim(-0.015, 0.015)\n",
    "ax2.set_xlabel(r\"$f-f_c$ in (THz)\")\n",
    "ax2.set_ylabel(r\"$\\frac{|G(f-f_c)|^2}{|G_\\mathrm{max}|^2}$\")\n",
    "ax2.grid()\n",
    "\n",
    "ax1.legend(['transmitted', 'received'])\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "Compared to the transmit impulse the received one has significantly broadened in time.\n",
    "The absolute value of the spectrum, nevertheless, stayed the same.\n",
    "By plotting the phase of the received signal one can see the typical parabolic shift."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2025-03-11T00:48:00.280058Z",
     "iopub.status.busy": "2025-03-11T00:48:00.279832Z",
     "iopub.status.idle": "2025-03-11T00:48:00.487679Z",
     "shell.execute_reply": "2025-03-11T00:48:00.486926Z"
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1) = plt.subplots(1, 1, tight_layout=True)\n",
    "\n",
    "ax1.plot(t.numpy().flatten(), np.angle(x.numpy().flatten()), '-')\n",
    "ax1.plot(t.numpy().flatten(), np.angle(y.numpy().flatten()), '--')\n",
    "ax1.set_xlim(-750, 750)\n",
    "ax1.set_xlabel(r\"$t$ in (ps)\")\n",
    "ax1.set_ylabel(\"$\\u2220 x(t), \\u2220 y(t)$\")\n",
    "ax1.grid()\n",
    "\n",
    "ax1.legend(['transmitted', 'received'])\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Kerr Nonlinearity\n",
    "\n",
    "Last, we depict the Kerr nonlinearity and, for a better understanding, disable all previous impairments.\n",
    "This nonlinear effect applies a phase shift to the transmitted signal depending on its\n",
    "instantaneous power. Hence, we should see a phase that, in contrast to the phase of the original signal which is zero, follows the (inverse) absolute value of the impulse.\n",
    "\n",
    "**Note:** Only the interaction between Kerr nonlinearity and CD requires an\n",
    "SSFM for fiber simulation. Otherwise (as done so far), the transfer function\n",
    "of the individual effect is just a single multiplication (in time- or Fourier-domain,\n",
    "respectively).\n",
    "\n",
    "### Channel configuration\n",
    "\n",
    "Similarly to the definition of CD, we specify a typical value for $\\gamma=1.27\\,\\mathrm{\\frac{1}{km W}}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2025-03-11T00:48:00.493669Z",
     "iopub.status.busy": "2025-03-11T00:48:00.493337Z",
     "iopub.status.idle": "2025-03-11T00:48:00.497050Z",
     "shell.execute_reply": "2025-03-11T00:48:00.496295Z"
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "gamma = 1.27  # (1/W/km) Nonlinearity coefficient"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2025-03-11T00:48:00.500363Z",
     "iopub.status.busy": "2025-03-11T00:48:00.500029Z",
     "iopub.status.idle": "2025-03-11T00:48:00.513468Z",
     "shell.execute_reply": "2025-03-11T00:48:00.512790Z"
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "span_nl = sionna.phy.channel.optical.SSFM(\n",
    "            alpha=alpha,\n",
    "            beta_2=beta_2,\n",
    "            f_c=f_c,\n",
    "            length=length_sp,\n",
    "            sample_duration=dt,\n",
    "            with_amplification=False,\n",
    "            with_attenuation=True,\n",
    "            with_dispersion=False,\n",
    "            with_nonlinearity=True,\n",
    "            t_norm=t_norm)\n",
    "\n",
    "amplifier_nl = sionna.phy.channel.optical.EDFA(\n",
    "                                g=g_edfa,\n",
    "                                f=0,\n",
    "                                f_c=f_c,\n",
    "                                dt=dt * t_norm)\n",
    "\n",
    "\n",
    "def lumped_amplification_channel_nl(inputs):\n",
    "    (u_0) = inputs\n",
    "\n",
    "    u = u_0\n",
    "    for _ in range(n_span):\n",
    "        u = span_nl(u)\n",
    "        u = amplifier_nl(u)\n",
    "\n",
    "    return u"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Transmission\n",
    "\n",
    "We now transmit the same Gaussian impulse again over the optical fiber where only Kerr nonlinearity is activated.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2025-03-11T00:48:00.516110Z",
     "iopub.status.busy": "2025-03-11T00:48:00.515907Z",
     "iopub.status.idle": "2025-03-11T00:48:00.590625Z",
     "shell.execute_reply": "2025-03-11T00:48:00.589845Z"
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "x = g_0\n",
    "y = lumped_amplification_channel_nl(x)\n",
    "\n",
    "X = tf.signal.fftshift(\n",
    "    tf.abs(\n",
    "        tf.cast(dt, config.tf_cdtype) *\n",
    "        tf.signal.fft(x) /\n",
    "        tf.cast(tf.math.sqrt(2 * np.pi), config.tf_cdtype)\n",
    "    ) ** 2\n",
    ")\n",
    "\n",
    "Y = tf.signal.fftshift(\n",
    "    tf.abs(\n",
    "        tf.cast(dt, config.tf_cdtype) *\n",
    "        tf.signal.fft(y) /\n",
    "        tf.cast(tf.math.sqrt(2 * np.pi), config.tf_cdtype)\n",
    "    ) ** 2\n",
    ")\n",
    "\n",
    "X_angle = tf.math.angle(tf.signal.fftshift(tf.signal.fft(x)))\n",
    "Y_angle = tf.math.angle(tf.signal.fftshift(tf.signal.fft(y)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2025-03-11T00:48:00.594711Z",
     "iopub.status.busy": "2025-03-11T00:48:00.594281Z",
     "iopub.status.idle": "2025-03-11T00:48:00.852841Z",
     "shell.execute_reply": "2025-03-11T00:48:00.851953Z"
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(2, 1)\n",
    "\n",
    "ax1.plot(t.numpy().flatten(), np.abs(x.numpy().flatten())**2, '-')\n",
    "ax1.plot(t.numpy().flatten(), np.abs(y.numpy().flatten())**2, '--')\n",
    "ax1.set_xlim(-150, 150)\n",
    "ax1.set_xlabel(r\"$t$ in (ps)\")\n",
    "ax1.set_ylabel(\"$\\u2220 x(t), \\u2220 y(t)$\")\n",
    "ax1.grid()\n",
    "\n",
    "ax2.plot(\n",
    "    f.numpy().flatten(),\n",
    "    (X.numpy().flatten())/np.max(X.numpy().flatten()),\n",
    "    '-')\n",
    "ax2.plot(\n",
    "    f.numpy().flatten(),\n",
    "    (Y.numpy().flatten())/np.max(Y.numpy().flatten()),\n",
    "    '--')\n",
    "ax2.set_xlim(-0.015, 0.015)\n",
    "ax2.set_xlabel(r\"$f-f_c$ in (THz)\")\n",
    "ax2.set_ylabel(r\"$\\frac{|G(f-f_c)|^2}{|G_\\mathrm{max}|^2}$\")\n",
    "ax2.grid()\n",
    "\n",
    "ax1.legend(['transmitted', 'received'])\n",
    "plt.tight_layout()\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "As shown in the previous plot the (isolated) Kerr nonlinearity does not affect the\n",
    "absolute value of the signal's amplitude but only shifts the phase (see below).\n",
    "\n",
    "Further, the bandwidth of the transmit signal was slightly increased.\n",
    "\n",
    "**Hint**: Increasing the peak power $p_0$ of the transmitted impuls increases the impact of the Kerr nonlinearity.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2025-03-11T00:48:00.858303Z",
     "iopub.status.busy": "2025-03-11T00:48:00.857989Z",
     "iopub.status.idle": "2025-03-11T00:48:01.028763Z",
     "shell.execute_reply": "2025-03-11T00:48:01.027967Z"
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1) = plt.subplots(1, 1, tight_layout=True)\n",
    "\n",
    "ax1.plot(t.numpy().flatten(), np.angle(x.numpy().flatten()), '-')\n",
    "ax1.plot(t.numpy().flatten(), np.angle(y.numpy().flatten()), '--')\n",
    "ax1.set_xlim(-750, 750)\n",
    "ax1.set_xlabel(\"$t$ in (ps)\")\n",
    "ax1.set_ylabel(\"$\\u2220 x(t), \\u2220 y(t)$\")\n",
    "ax1.grid()\n",
    "\n",
    "ax1.legend(['transmitted', 'received'])\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## Split-Step Fourier Method\n",
    "\n",
    "Last, we perform the true SSFM to simulate the impairments (ASE noise, CD, and Kerr\n",
    "nonlinearity) jointly. As this is computationally complex, we compile\n",
    "the channel model before its execution by adding the `tf.function` decorator.\n",
    "\n",
    "### Channel Configuration\n",
    "\n",
    "Keeping the former configuration, we only have to increase the number of SSFM simulation steps."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2025-03-11T00:48:01.034362Z",
     "iopub.status.busy": "2025-03-11T00:48:01.034043Z",
     "iopub.status.idle": "2025-03-11T00:48:01.037941Z",
     "shell.execute_reply": "2025-03-11T00:48:01.037311Z"
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "n_ssfm = 160  # number of SSFM simulation steps"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2025-03-11T00:48:01.040008Z",
     "iopub.status.busy": "2025-03-11T00:48:01.039769Z",
     "iopub.status.idle": "2025-03-11T00:48:01.052883Z",
     "shell.execute_reply": "2025-03-11T00:48:01.052245Z"
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "span_ssfm = sionna.phy.channel.optical.SSFM(\n",
    "            alpha=alpha,\n",
    "            beta_2=beta_2,\n",
    "            gamma=gamma,\n",
    "            f_c=f_c,\n",
    "            length=length_sp,\n",
    "            sample_duration=dt,\n",
    "            n_ssfm=n_ssfm,\n",
    "            with_amplification=False,\n",
    "            with_attenuation=True,\n",
    "            with_dispersion=True,\n",
    "            with_nonlinearity=True,\n",
    "            t_norm=t_norm)\n",
    "\n",
    "amplifier_ssfm = sionna.phy.channel.optical.EDFA(\n",
    "                        g=g_edfa,\n",
    "                        f=0,\n",
    "                        f_c=f_c,\n",
    "                        dt=dt * t_norm)\n",
    "\n",
    "@tf.function\n",
    "def lumped_amplification_channel_ssfm(inputs):\n",
    "    (u_0) = inputs\n",
    "\n",
    "    u = u_0\n",
    "    for _ in range(1):\n",
    "        u = span_ssfm(u)\n",
    "        u = amplifier_ssfm(u)\n",
    "\n",
    "    return u"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Transmission\n",
    "\n",
    "We transmit the Gaussian impulse over the optical fiber. However, we have now enabled ASE noise, CD, and Kerr\n",
    "nonlinearity."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2025-03-11T00:48:01.055562Z",
     "iopub.status.busy": "2025-03-11T00:48:01.055342Z",
     "iopub.status.idle": "2025-03-11T00:48:02.424311Z",
     "shell.execute_reply": "2025-03-11T00:48:02.423052Z"
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "x = g_0\n",
    "y = lumped_amplification_channel_ssfm(x)\n",
    "\n",
    "X = tf.signal.fftshift(\n",
    "    tf.abs(\n",
    "        tf.cast(dt, config.tf_cdtype) *\n",
    "        tf.signal.fft(x) /\n",
    "        tf.cast(tf.math.sqrt(2 * np.pi), config.tf_cdtype)\n",
    "    ) ** 2\n",
    ")\n",
    "\n",
    "Y = tf.signal.fftshift(\n",
    "    tf.abs(\n",
    "        tf.cast(dt, config.tf_cdtype) *\n",
    "        tf.signal.fft(y) /\n",
    "        tf.cast(tf.math.sqrt(2 * np.pi), config.tf_cdtype)\n",
    "    ) ** 2\n",
    ")\n",
    "\n",
    "X_angle = tf.math.angle(tf.signal.fftshift(tf.signal.fft(x)))\n",
    "Y_angle = tf.math.angle(tf.signal.fftshift(tf.signal.fft(y)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2025-03-11T00:48:02.428576Z",
     "iopub.status.busy": "2025-03-11T00:48:02.428345Z",
     "iopub.status.idle": "2025-03-11T00:48:02.686031Z",
     "shell.execute_reply": "2025-03-11T00:48:02.684955Z"
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(2, 1)\n",
    "\n",
    "ax1.plot(t.numpy().flatten(), np.abs(x.numpy().flatten())**2, '-')\n",
    "ax1.plot(t.numpy().flatten(), np.abs(y.numpy().flatten())**2, '--')\n",
    "ax1.set_xlim(-150, 150)\n",
    "ax1.set_xlabel(r\"$t$ in (ps)\")\n",
    "ax1.set_ylabel(r\"$|g(t)|^2$ in (W)\")\n",
    "ax1.grid()\n",
    "\n",
    "ax2.plot(\n",
    "    f.numpy().flatten(),\n",
    "    (X.numpy().flatten()/np.max(X.numpy().flatten())),\n",
    "    '-')\n",
    "ax2.plot(\n",
    "    f.numpy().flatten(),\n",
    "    (Y.numpy().flatten()/np.max(Y.numpy().flatten())),\n",
    "    '--')\n",
    "ax2.set_xlim(-0.015, 0.015)\n",
    "ax2.set_xlabel(r\"$f-f_c$ in (THz)\")\n",
    "ax2.set_ylabel(r\"$\\frac{|G(f-f_c)|^2}{|G_\\mathrm{max}|^2}$\")\n",
    "ax2.grid()\n",
    "\n",
    "ax1.legend(['transmitted', 'received'])\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2025-03-11T00:48:02.691426Z",
     "iopub.status.busy": "2025-03-11T00:48:02.691165Z",
     "iopub.status.idle": "2025-03-11T00:48:02.892319Z",
     "shell.execute_reply": "2025-03-11T00:48:02.891483Z"
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1) = plt.subplots(1, 1, tight_layout=True)\n",
    "\n",
    "ax1.plot(t.numpy().flatten(), np.angle(x.numpy().flatten()), '-')\n",
    "ax1.plot(t.numpy().flatten(), np.angle(y.numpy().flatten()), '--')\n",
    "ax1.set_xlim(-500, 500)\n",
    "ax1.set_xlabel(\"$t$ in (ps)\")\n",
    "ax1.set_ylabel(\"$\\u2220 x(t), \\u2220 y(t)$\")\n",
    "ax1.grid()\n",
    "\n",
    "ax1.legend(['transmitted', 'received'])\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "The most interesting observation that one can make here is that the\n",
    "spectrum of the received signal is compressed. This is in contrast\n",
    "to the expected Kerr nonlinearity-induced spectral broadening, and shows\n",
    "that joint application of the fiber effects may result in completely\n",
    "different observations compared to the isolated investigation.\n",
    "\n",
    "What we can see here, however, is that the Gaussian input impulse is\n",
    "transformed to a higher-order Soliton during propagation. Those require\n",
    "a joint CD and Kerr nonlinearity to exist.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
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    "## References\n",
    "\n",
    "[1] René-Jean Essiambre, Gerhard Kramer, Peter J. Winzer, Gerard J. Foschini, and Bernhard Goebel.\n",
    "„Capacity Limits of Optical Fiber Networks“. Journal of Lightwave Technology 28, Nr. 4, pp 662–701, February 2010.\n",
    "\n",
    "\n"
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